Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 2 2 3 4 5 7 8 8 7 6 5 5 5 5 4 4 5 4 5 6 5 4 3 3 2 2 2 3 4 4 4 3 3 4 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 4 4 3 4 4 5 5 4 4 4 4 5 4 4 5 5 6 6 5 4 4 5 6 7 6 5 5 7 10 11 10 8 7 6 6 5 5 6 7 7 8 8 6 4 3 3 1 -1 -0 5 4 6 9 6 -3 7 8 2 4 7 4 8 8 5 5 4 2 0 3 6 -0 -0 4 3 -0 3 3 -0 1 4 9 8 3 5 12 12 6 3 8 11 8 7 5 2 6 8 2 -1 5 10 9 5 7 7 0 -3 -0 2 2 -0 0 2 4 5 10 24 39 32 16 8 5 4 3 2 2 2 2 2 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 6 7 8 10 11 12 12 12 11 11 12 11 11 11 10 7 6 4 2 2 6 6 5 4 4 5 5 5 4 4 7 8 6 5 6 5 6 6 6 6 7 6 2 4 4 4 2 2 3 5 5 5 4 5 4 4 3 3 3 3 2 2 2 2 2 2 3 2 2 1 1 1 2 5 6 7 7 7 7 6 4 3 3 2 2 2 1 2 2 3 5 5 6 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 7 17 26 20 8 5 6 4 -0 -1 -5 -7 -13 -8 -1 -4 -2 4 4 2 2 3 1 -7 -10 -6 -5 -7 -5 -1 2 4 6 7 9 10 13 17 20 19 15 13 12 10 8 7 6 6 7 10 14 14 11 9 9 11 11 10 8 6 4 3 2 2 3 3 4 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 3 4 5 5 5 4 4 4 3 3 3 3 3 3 2 3 2 2 4 5 6 6 7 7 6 6 5 5 5 5 5 4 4 5 5 5 4 3 2 2 2 3 4 4 3 3 4 4 3 4 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 4 4 3 3 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 6 6 6 5 5 8 12 11 9 8 7 6 5 5 5 6 7 8 7 6 4 2 2 1 1 3 5 5 10 18 8 1 9 7 4 5 10 3 1 2 4 7 6 -1 -7 -2 5 4 2 1 -0 -0 7 9 8 6 5 6 7 5 6 10 11 10 10 10 9 10 8 2 3 11 13 7 3 2 2 3 5 8 5 -1 -1 1 4 5 6 7 8 10 14 24 34 34 21 9 5 4 3 3 3 3 3 3 2 1 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 7 8 10 10 10 9 10 11 13 11 10 10 9 6 3 2 3 4 6 6 5 4 4 5 5 4 3 5 7 7 5 5 5 5 5 6 6 6 5 1 -1 4 3 3 2 2 3 4 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 3 2 1 1 1 3 5 7 8 8 9 9 8 8 6 4 3 2 2 1 2 2 3 4 5 5 4 3 3 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 8 17 24 22 16 12 7 8 10 8 1 1 -2 0 -0 3 4 4 5 6 6 4 3 2 -0 -1 -4 -3 -1 2 4 5 6 7 8 8 10 13 14 13 10 9 8 6 5 5 4 6 10 14 18 19 19 16 11 7 5 3 2 1 1 1 1 2 4 4 5 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 2 3 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 2 3 3 4 6 6 6 6 6 5 4 4 5 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 3 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 6 6 6 5 5 7 11 12 11 9 7 6 5 4 5 6 7 8 7 5 4 2 -1 -1 5 8 3 4 13 18 4 3 7 2 2 6 6 0 -2 -1 1 4 9 3 0 6 12 10 6 3 1 2 8 11 12 10 7 7 9 8 11 12 8 10 13 8 4 7 2 -3 4 12 14 10 5 -0 -4 -1 3 6 7 6 5 4 5 6 7 9 11 14 26 36 32 20 10 5 4 3 3 4 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 7 8 9 9 8 9 10 11 11 9 8 6 4 1 -1 -3 2 6 6 5 5 4 5 4 4 5 6 7 6 6 5 5 5 5 6 5 5 5 -2 -6 0 3 1 -0 2 3 4 4 4 4 4 3 4 4 3 4 3 3 2 2 1 2 2 3 4 3 2 2 2 4 6 7 7 7 8 10 12 11 9 6 5 3 3 2 2 2 3 4 5 4 3 3 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 6 13 18 20 16 8 6 6 4 3 5 5 3 3 4 3 5 6 7 8 6 6 8 5 3 1 4 5 4 3 3 5 7 8 7 8 8 8 8 8 7 7 6 5 5 5 6 9 14 19 25 26 21 13 6 3 2 2 1 1 1 2 3 4 4 4 3 4 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 4 3 3 3 3 3 4 5 6 5 5 3 2 2 3 3 4 4 3 3 3 4 4 5 5 6 6 5 4 3 3 3 3 4 4 4 4 4 3 3 2 2 3 3 2 3 3 3 3 4 3 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 4 5 9 13 12 10 8 6 5 4 5 6 7 7 6 5 4 2 -3 -6 2 8 3 2 7 11 4 3 5 5 3 7 4 -2 -3 0 3 7 8 7 9 12 12 9 7 5 3 4 6 7 8 9 8 8 10 9 11 12 13 14 9 4 4 4 -1 -1 6 11 12 9 2 -1 1 2 2 4 9 9 8 6 5 5 5 8 13 23 33 33 20 9 5 5 4 3 3 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 5 6 5 5 5 5 5 5 6 7 8 8 8 8 9 9 9 8 7 5 3 1 -1 -1 4 6 6 5 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 5 1 -5 -4 1 2 0 1 4 5 5 5 3 3 3 3 3 4 5 5 4 3 2 2 2 3 4 5 4 3 3 3 5 6 6 5 5 7 11 14 14 12 8 6 5 3 3 3 3 3 3 5 4 3 3 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 7 13 15 10 6 5 4 3 4 6 6 6 6 4 6 8 8 6 5 7 7 5 5 6 8 8 4 3 3 4 6 7 7 7 6 7 6 6 6 6 7 6 5 6 6 9 12 17 23 25 20 12 6 3 2 2 1 0 0 1 3 3 3 3 3 3 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 4 3 3 3 3 3 4 5 6 6 5 4 3 2 3 4 4 4 3 3 3 4 4 5 6 6 6 4 3 3 3 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 6 5 5 4 3 4 4 5 6 5 5 6 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 6 5 4 5 8 11 13 10 8 7 5 4 5 6 6 6 5 5 4 2 -3 -9 -6 3 6 5 6 6 4 6 7 7 4 9 9 1 -1 1 6 10 5 2 3 5 4 3 4 3 3 6 5 1 1 4 7 8 6 5 7 8 14 14 7 3 3 3 6 9 9 7 8 5 1 4 10 9 5 7 9 9 7 4 3 3 4 7 16 28 29 19 9 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 5 6 7 7 8 8 8 8 8 7 6 5 4 2 4 8 7 6 5 4 4 4 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 4 0 -5 -2 6 8 5 5 6 6 5 4 3 3 4 5 7 6 6 5 4 3 3 4 5 6 5 4 4 3 4 5 6 5 4 4 6 10 15 17 15 11 8 6 4 4 3 3 3 4 5 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 1 -0 -2 -2 -2 -2 -1 3 9 9 6 5 4 4 6 8 8 7 6 5 7 10 11 8 3 6 7 8 8 8 9 8 4 2 3 4 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 8 10 13 17 19 16 10 5 2 2 1 -0 -0 0 1 2 2 3 3 3 3 3 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 5 5 4 4 3 3 2 2 3 3 4 6 6 5 4 3 3 3 4 5 4 4 4 4 4 5 6 6 7 7 5 4 3 3 3 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 5 5 6 6 6 6 6 6 5 4 5 4 4 3 3 4 4 5 5 5 5 5 6 6 5 5 7 10 12 11 9 7 5 5 5 5 6 6 5 5 4 4 -1 -8 -8 1 6 5 7 5 3 10 9 4 2 5 7 6 4 1 8 12 6 2 2 2 2 5 5 3 4 8 6 1 -3 -1 6 8 1 -4 4 6 10 9 5 3 1 1 8 13 7 3 7 6 5 11 14 10 9 9 8 7 6 4 3 2 3 8 18 23 16 8 5 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 5 5 6 6 5 5 5 6 6 5 5 5 6 7 7 8 9 8 8 7 6 5 4 4 6 9 8 6 5 4 4 5 5 5 5 6 6 5 5 4 4 4 5 5 5 6 6 4 4 3 -2 -3 3 9 8 6 6 6 5 4 3 4 5 7 9 9 7 5 4 3 5 6 7 7 6 5 4 4 4 5 5 4 4 4 6 10 16 18 16 12 9 7 6 4 4 4 4 4 5 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 2 2 1 0 -1 -3 -6 -6 -7 -7 -5 -1 3 6 6 5 4 5 8 10 8 4 4 7 7 8 13 9 4 4 7 9 9 8 7 6 4 3 3 3 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 11 12 10 7 4 2 1 0 1 -0 1 1 1 3 3 3 2 2 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 5 5 5 5 4 4 3 2 1 1 3 4 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 5 6 7 6 5 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 5 5 6 6 6 5 5 5 4 5 6 6 7 7 6 6 6 5 5 5 4 4 3 3 3 4 5 5 5 5 5 6 5 5 5 6 9 11 12 10 8 6 5 5 5 6 6 5 4 4 4 2 -3 -4 2 5 3 4 5 6 9 5 3 5 3 4 7 7 3 10 13 5 4 6 4 3 8 8 6 5 7 4 2 -0 -2 5 8 -3 -7 2 4 5 3 2 1 4 5 1 4 3 5 7 -1 3 12 12 10 9 8 5 3 4 5 5 4 5 11 18 17 8 5 4 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 6 5 6 6 7 8 9 8 7 7 6 6 6 6 9 8 5 5 5 5 5 5 5 6 6 6 5 4 5 5 4 5 5 6 6 5 4 4 4 3 -1 -2 3 7 6 6 5 4 3 4 5 7 10 12 11 8 5 4 4 6 7 7 6 6 4 4 4 4 5 5 5 4 4 6 9 15 18 17 14 11 8 6 5 5 5 5 6 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 1 1 1 2 1 -1 -4 -3 -3 -4 -3 1 3 4 5 6 5 5 8 9 7 5 3 5 4 7 11 9 7 7 8 9 9 7 6 6 5 4 3 3 2 2 4 5 6 7 8 8 8 7 7 7 7 7 9 8 7 7 7 6 6 5 4 3 2 1 2 2 2 2 2 2 3 3 2 1 1 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 5 5 5 5 5 4 3 2 2 1 1 2 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 6 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 3 3 2 3 3 3 2 3 3 3 3 3 3 3 3 2 3 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 5 5 4 4 4 4 3 4 4 5 5 6 6 6 6 5 5 5 7 10 12 11 8 6 5 5 5 6 6 6 5 5 5 4 1 -2 -0 4 4 5 7 9 8 5 3 4 3 2 6 8 6 10 9 4 4 8 8 5 6 5 6 7 6 3 3 3 4 11 7 -7 -2 4 5 6 1 -1 -2 5 8 6 3 -2 2 3 -5 -1 5 6 7 10 11 6 2 2 3 6 7 9 17 21 13 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 4 4 5 5 6 7 6 5 5 5 5 5 5 6 5 5 5 6 7 7 7 8 7 7 7 7 7 9 12 9 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 4 4 4 3 1 1 4 6 5 4 4 3 4 7 10 13 14 11 8 5 3 4 6 6 6 5 4 4 3 3 4 5 5 6 5 4 5 8 13 16 16 15 12 9 7 6 6 7 7 7 6 4 2 2 4 4 4 4 5 5 6 6 6 6 5 4 4 3 2 1 -0 2 7 6 3 2 2 3 2 1 3 3 3 4 5 6 5 6 6 6 8 7 4 2 5 8 9 9 10 11 10 8 7 6 6 6 5 4 3 -0 -4 -3 0 4 6 7 7 7 7 7 6 7 7 8 8 8 7 6 5 4 5 4 4 4 4 4 3 2 2 3 3 3 3 2 1 1 1 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 3 3 4 4 4 4 4 4 4 3 3 2 1 0 0 1 2 3 4 4 4 3 3 3 2 3 4 4 4 4 4 5 6 5 5 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 2 3 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 7 6 5 5 5 5 4 4 3 3 4 4 5 7 7 6 5 5 5 6 9 12 12 10 7 5 5 5 6 7 7 6 5 5 4 2 -1 -2 2 6 8 8 7 7 5 4 7 7 2 2 5 8 9 5 6 5 5 8 6 5 4 5 8 7 4 5 8 11 14 2 -7 2 5 6 10 8 -1 -3 -0 3 6 6 4 7 5 2 2 4 2 4 9 9 6 3 2 3 6 9 14 21 19 9 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 6 6 7 6 5 5 5 5 5 5 5 5 5 4 5 6 7 7 7 7 7 7 7 10 19 19 13 9 7 6 7 7 7 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 2 3 5 4 4 4 4 5 7 10 14 14 10 6 3 2 3 5 5 4 4 4 4 4 3 4 4 5 5 5 5 5 7 10 12 14 13 12 10 8 7 7 9 9 9 7 3 1 1 3 4 4 4 5 6 7 7 8 7 6 4 3 3 2 4 4 4 7 8 5 6 4 3 3 4 3 2 3 3 3 6 8 7 5 6 9 10 6 2 4 7 8 9 10 10 9 8 6 6 6 5 4 5 4 2 -1 -3 -4 -0 4 5 6 7 6 6 6 6 7 7 8 8 8 7 6 5 5 5 4 4 5 5 4 4 3 3 3 2 3 3 2 2 1 1 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan -2 -1 1 2 3 4 3 2 3 3 4 5 5 4 2 1 0 -1 -0 1 3 3 4 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 4 4 4 3 3 2 2 2 2 2 3 2 2 3 3 3 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 5 4 4 5 4 4 4 4 4 4 5 5 5 4 5 5 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 4 3 3 3 4 5 7 8 7 6 5 4 5 8 11 12 11 8 6 5 5 6 6 7 7 6 5 4 2 0 -0 2 5 7 7 5 4 3 6 10 10 6 3 1 4 7 6 8 7 6 10 9 8 7 6 5 6 6 5 8 9 8 -1 -3 3 3 7 11 12 0 -0 -0 1 5 4 6 10 6 10 8 7 6 9 11 8 5 2 2 4 7 10 16 19 13 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 6 5 5 4 5 4 4 5 5 5 4 4 4 5 5 5 5 6 5 5 8 15 21 20 18 16 13 11 10 8 7 7 7 6 6 7 7 6 7 6 6 6 5 5 6 6 6 6 5 5 5 5 4 4 4 5 7 9 12 12 8 4 2 1 3 4 3 3 3 3 4 4 4 3 4 5 5 5 4 4 5 8 9 10 11 10 9 8 8 8 9 11 10 7 2 -1 -2 0 3 5 5 5 6 7 8 8 8 6 5 3 2 2 6 12 9 5 5 5 6 4 3 2 3 4 5 6 7 7 10 11 9 7 6 7 11 9 5 5 7 8 9 10 10 8 7 6 6 5 5 4 4 5 7 9 8 3 -0 2 4 5 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 5 3 2 2 4 4 3 3 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan -2 -3 -1 1 3 4 3 2 2 3 3 4 6 6 5 3 2 0 -0 -1 0 1 2 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 5 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 4 4 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 4 4 4 4 5 7 8 8 5 5 4 6 7 10 12 12 10 7 6 5 5 6 7 7 7 6 5 3 2 1 1 5 6 5 5 4 3 8 10 8 6 3 1 3 7 8 7 7 8 7 9 11 10 5 2 4 7 5 4 2 2 -0 0 2 3 6 11 11 1 1 1 3 8 5 5 4 7 10 7 8 11 14 14 10 6 4 4 4 6 8 14 15 9 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 5 5 5 5 4 4 4 5 6 5 5 4 4 4 4 3 3 3 3 3 3 5 11 17 20 21 21 18 16 15 14 13 12 10 7 6 6 6 6 6 6 6 6 7 8 7 9 10 10 6 4 5 5 4 5 6 6 6 8 8 7 4 3 3 4 4 3 2 3 4 4 4 4 4 4 4 5 4 2 2 3 5 8 8 8 8 7 7 7 8 8 10 10 7 3 -2 -4 -4 -0 3 5 5 5 6 7 7 5 4 3 2 0 -1 4 14 13 5 5 6 4 4 4 3 4 8 10 11 10 11 14 13 11 8 7 6 7 8 7 6 7 9 9 10 10 9 7 5 6 6 6 3 3 5 8 12 11 7 2 1 3 4 5 6 5 6 6 6 6 7 7 7 7 6 6 5 5 5 5 6 7 8 7 6 5 3 3 4 5 5 4 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 1 1 2 3 3 2 2 2 3 3 5 6 6 5 4 2 0 0 0 -0 1 2 2 3 3 3 3 3 4 4 3 4 4 5 6 5 5 5 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 3 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 5 4 5 5 5 5 5 6 7 7 7 6 7 7 7 7 7 7 7 8 7 6 6 5 4 4 6 7 9 7 5 4 4 6 7 9 11 12 11 8 6 5 5 6 6 7 7 6 5 4 2 2 4 8 8 7 4 2 3 6 10 8 2 1 2 6 9 8 6 5 5 5 11 14 12 7 2 1 6 8 1 -4 1 4 2 2 2 4 7 5 2 2 3 7 8 5 3 5 12 7 -1 5 11 12 11 9 7 5 5 6 8 11 15 13 6 3 3 3 3 4 4 4 4 3 3 3 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 4 3 3 3 2 2 2 1 1 1 3 6 9 12 15 17 17 18 19 18 17 15 11 8 7 7 7 7 7 9 12 13 12 11 14 15 12 6 4 5 5 5 5 6 6 5 4 3 4 4 4 5 5 4 3 3 3 4 4 5 5 4 4 4 4 4 1 -5 -6 0 5 6 6 6 6 5 5 7 8 9 10 9 6 1 -4 -7 -6 -1 4 5 3 3 4 3 1 -2 -3 -3 -3 -4 2 11 11 6 5 5 4 4 4 4 6 10 12 12 11 9 9 10 10 7 5 5 6 6 7 6 7 8 10 10 10 9 6 5 6 8 6 3 3 3 7 7 5 5 2 1 3 3 4 5 5 6 6 6 6 7 6 7 7 7 6 7 6 6 6 6 8 8 8 7 6 5 4 3 5 6 5 3 2 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 5 4 3 2 2 2 2 2 2 3 4 5 6 6 5 4 3 2 2 1 1 1 1 2 2 3 3 3 4 3 3 3 4 5 6 6 5 5 5 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 5 4 4 4 5 4 4 4 4 5 5 6 6 7 6 6 7 8 8 8 8 9 10 10 8 7 6 6 5 5 6 8 9 7 5 4 4 5 7 9 11 12 12 10 7 5 5 6 6 7 7 7 6 4 3 5 8 7 5 8 2 0 3 5 0 6 9 10 5 5 4 7 9 7 5 8 14 16 14 10 4 1 4 8 3 -2 2 7 4 4 4 2 3 -2 0 2 6 8 6 5 2 6 11 3 -5 -1 8 10 8 9 7 4 4 7 13 20 19 11 5 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 5 4 3 3 4 5 6 6 6 6 5 5 5 5 4 5 4 4 5 5 5 4 4 3 3 2 2 2 2 2 1 2 2 3 4 7 9 11 12 12 13 14 14 15 14 13 13 14 16 15 14 14 15 16 17 17 10 5 5 5 5 5 5 6 6 5 3 2 1 2 3 4 4 4 3 3 4 5 5 5 5 5 5 4 4 6 5 -4 -13 -10 0 6 6 6 5 5 5 6 6 8 9 10 10 7 3 -4 -9 -8 -1 4 2 -1 -1 -1 -2 -6 -7 -7 -7 -4 2 7 8 6 5 5 5 6 7 9 9 10 9 8 7 6 5 6 7 5 4 5 7 7 6 7 7 8 10 11 10 9 6 5 6 8 7 5 4 4 5 5 4 4 3 3 3 4 4 5 5 5 6 6 6 5 5 6 6 7 9 9 10 9 7 7 7 7 7 6 6 5 5 4 5 6 5 4 2 1 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 5 7 7 6 4 3 2 2 3 3 3 4 5 6 6 5 4 4 4 4 3 2 1 1 1 1 2 2 3 3 3 3 3 3 4 5 5 6 5 5 5 4 4 4 4 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 8 8 8 9 11 14 15 12 9 7 7 6 6 7 8 8 5 4 4 4 5 7 8 10 13 13 11 7 4 5 7 6 7 7 7 5 3 2 5 8 3 2 6 1 3 2 4 -3 8 17 15 7 -0 -3 5 11 10 10 10 11 14 16 14 10 7 4 2 2 3 7 9 5 6 6 3 1 -2 1 4 8 6 5 2 2 6 8 4 -0 3 6 8 10 10 7 5 4 7 15 23 17 8 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 6 6 6 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 6 8 12 15 16 16 16 16 14 11 9 8 9 11 13 12 8 5 5 5 5 5 5 6 7 5 3 2 1 1 2 1 1 3 2 0 1 4 5 5 5 5 5 5 5 8 12 7 -4 -10 -4 4 5 5 5 5 5 5 5 6 8 10 12 13 12 7 -3 -11 -9 -1 1 -2 -4 -3 -2 -3 -4 -5 -4 0 2 3 4 5 7 8 7 7 12 16 14 11 9 5 4 5 6 7 5 4 4 6 7 6 6 7 8 9 11 12 12 10 7 7 7 7 7 6 4 4 5 6 6 6 6 5 4 5 5 5 5 5 6 5 4 3 5 5 6 7 9 10 12 11 9 7 6 5 5 5 5 5 5 6 6 6 6 4 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 4 6 7 7 5 4 3 2 3 3 4 5 6 5 5 5 4 4 4 5 4 2 1 1 0 1 1 1 1 1 2 2 3 4 4 5 5 5 5 5 4 4 3 4 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 8 8 9 12 16 19 18 14 10 8 7 7 8 8 6 4 3 4 5 6 7 9 11 12 13 12 7 4 6 8 7 6 7 6 4 3 2 2 5 4 7 6 6 5 -2 -2 4 7 17 10 9 0 -2 3 6 8 12 10 6 8 14 15 13 11 7 2 1 4 6 6 5 7 6 5 4 2 4 8 9 5 3 3 6 7 8 4 7 7 7 5 7 8 7 5 5 8 16 20 12 5 3 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 5 5 6 6 6 5 5 5 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 5 7 9 10 11 10 7 5 5 4 4 4 5 7 7 6 6 5 5 4 4 4 5 6 6 4 3 2 2 2 -0 -2 1 2 -5 -8 -2 4 6 5 5 4 5 6 10 17 15 7 2 -0 2 5 5 5 5 4 4 4 4 5 6 8 12 16 16 9 -4 -11 -8 -5 -4 -2 -1 -0 2 2 3 4 4 4 3 4 5 6 7 6 7 12 18 17 13 9 6 5 7 8 8 5 4 5 7 6 6 6 6 8 9 11 13 13 12 9 8 9 8 7 6 5 4 4 5 5 6 7 6 5 5 5 4 5 5 5 4 2 2 4 4 5 6 7 9 11 11 10 8 5 4 4 4 5 5 5 6 7 7 6 4 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 1 1 2 3 5 6 5 5 4 3 3 4 4 4 5 5 5 5 4 3 4 6 6 5 3 2 1 1 1 1 1 1 1 2 3 3 4 4 5 5 5 5 4 3 3 4 4 5 4 4 3 2 3 2 2 3 2 2 2 2 2 2 3 2 2 2 2 2 2 1 2 2 2 2 3 3 3 4 3 3 3 3 3 3 2 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 6 7 7 9 11 15 20 22 20 16 12 9 8 9 8 6 4 3 4 5 6 8 9 11 12 14 12 8 6 7 8 6 6 6 6 3 1 1 2 3 7 11 6 10 7 2 -5 5 3 9 5 13 6 3 -0 1 4 6 6 6 5 9 13 11 8 4 3 3 4 3 1 4 8 8 8 6 4 7 10 9 5 3 6 12 7 6 5 8 7 4 4 5 5 5 7 8 11 18 17 8 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 3 3 3 4 4 4 4 4 3 3 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 4 4 5 5 6 6 6 5 4 4 4 5 6 5 4 3 3 5 5 1 1 5 1 -9 -12 -5 3 5 4 4 5 6 9 16 18 9 4 4 3 5 5 4 4 4 2 1 1 1 1 1 3 9 14 13 5 -4 -5 -4 -2 -1 1 2 5 6 5 6 6 6 6 6 7 6 6 6 4 3 10 13 10 7 6 6 8 11 8 5 4 6 6 5 5 5 6 7 9 11 12 13 13 11 10 9 8 7 6 5 5 4 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 8 9 9 8 7 5 4 4 4 4 5 6 7 8 7 4 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 6 5 4 2 1 1 1 2 1 1 2 2 3 4 5 5 5 5 4 4 4 4 4 4 5 4 3 3 3 3 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 2 1 2 2 2 3 3 3 4 3 3 3 3 3 3 2 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 4 5 6 5 5 5 5 6 7 7 8 9 12 16 19 21 18 15 12 10 9 7 5 4 4 4 5 6 8 10 11 13 13 12 10 7 7 6 6 6 6 5 3 1 2 3 4 7 9 7 7 6 6 5 8 2 5 9 14 10 7 -1 -1 1 2 8 7 3 6 8 7 6 4 1 2 5 3 1 6 10 11 8 2 4 11 12 7 2 2 6 11 6 3 5 8 4 0 3 4 4 5 7 10 14 19 14 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 5 6 5 5 5 4 5 8 7 6 10 11 2 -9 -13 -7 -0 0 1 2 4 7 10 13 9 3 3 3 4 5 3 2 1 0 -2 -5 -4 -2 -5 -7 -2 5 9 9 6 4 4 1 -1 0 2 7 8 3 2 5 7 10 10 9 10 10 9 7 2 3 7 6 5 5 6 8 10 8 6 5 5 5 4 5 6 6 6 7 9 11 12 12 11 11 10 8 7 7 6 5 5 4 4 4 5 5 5 5 5 5 5 4 5 6 6 4 3 4 5 6 6 6 6 6 7 8 7 6 5 5 4 4 5 5 7 8 7 5 3 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 5 5 5 4 3 1 1 1 3 4 5 5 4 4 4 4 4 5 5 4 5 6 6 6 6 6 6 4 3 3 3 2 2 2 1 1 2 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 2 2 2 2 2 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 4 4 4 4 4 4 5 5 4 3 4 4 4 4 3 4 4 5 4 5 5 5 5 5 5 6 6 6 7 7 8 10 11 13 17 18 16 13 10 8 6 4 3 3 4 5 7 9 12 13 13 13 12 10 8 6 6 6 6 6 5 2 0 3 6 6 7 8 6 4 8 3 8 7 7 3 12 12 9 9 2 1 -1 1 11 3 -2 2 3 4 8 6 2 3 5 4 3 7 13 14 5 -4 -1 7 12 7 2 2 7 7 3 1 4 5 3 -0 1 3 4 4 6 11 18 19 12 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 5 5 5 6 5 5 4 4 4 5 5 6 5 4 5 6 6 6 10 13 9 1 -10 -14 -9 -8 -6 -4 -1 4 6 7 7 5 4 3 3 2 2 0 -1 -1 -2 -5 -6 -3 -3 -6 -6 -0 6 8 7 6 5 5 4 3 2 8 13 10 5 5 10 14 13 11 9 10 11 10 6 4 6 6 6 5 5 8 9 8 6 5 5 5 5 4 5 5 6 6 7 8 10 10 10 10 10 9 8 7 7 7 6 4 4 4 5 5 5 5 5 5 4 4 4 5 5 3 3 4 5 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 6 7 7 5 3 1 0 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 6 7 7 6 5 4 2 2 2 4 4 4 4 4 4 4 4 4 4 4 6 7 7 6 5 6 6 5 5 4 4 4 3 3 2 2 2 2 3 3 3 4 4 4 5 5 6 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 4 4 4 4 5 5 5 5 5 5 6 6 6 7 8 10 11 10 10 13 16 15 11 8 6 5 4 3 3 4 6 8 11 13 14 15 13 11 9 7 6 6 6 6 7 5 2 0 4 8 9 9 7 2 5 11 4 6 2 5 -1 10 7 7 9 4 3 0 4 9 1 -3 -0 1 4 8 7 5 5 4 3 4 6 11 13 4 -3 -0 5 9 6 4 7 12 7 0 0 1 -0 1 4 3 2 3 4 4 12 24 20 9 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 5 9 13 9 4 1 -6 -8 -8 -8 -9 -10 -3 2 4 5 5 4 4 4 2 1 1 1 -0 1 1 -0 -0 2 2 1 2 5 6 7 6 4 6 9 8 6 7 14 19 15 11 13 14 13 11 6 5 8 7 5 5 6 6 6 5 5 6 8 7 6 5 5 5 5 5 5 4 5 5 6 6 7 7 8 9 9 9 8 8 8 8 7 6 5 4 4 5 6 6 6 5 4 3 3 3 3 3 3 4 5 6 6 6 6 5 4 4 3 4 5 5 5 5 5 5 6 6 6 5 3 1 -0 -0 -0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 5 6 7 7 6 6 4 4 4 4 4 4 3 3 4 4 4 4 3 3 5 7 8 7 6 6 6 6 5 5 5 5 5 5 4 4 3 2 3 3 3 4 4 4 5 6 6 5 5 4 3 2 2 3 3 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 7 7 9 12 13 12 11 12 15 14 11 7 5 5 4 3 4 6 8 10 13 14 15 14 13 10 7 6 6 7 7 7 7 5 2 1 4 8 9 10 7 1 5 8 3 0 5 4 -3 2 2 5 3 6 8 7 8 8 3 -0 -2 0 6 7 4 6 7 5 3 4 5 7 8 5 3 4 6 6 5 6 9 10 5 3 3 1 -2 1 8 6 3 4 5 6 14 26 20 6 3 3 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 5 5 5 5 4 5 5 4 5 4 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 9 16 15 8 5 4 2 1 -1 -5 -10 -10 -7 -2 2 3 3 4 6 5 4 7 8 5 4 5 5 5 5 6 6 6 6 6 7 7 5 5 6 9 10 8 11 17 18 15 13 10 9 10 7 5 6 5 4 4 5 6 5 4 4 5 6 6 6 5 5 5 4 5 4 4 4 5 6 6 5 6 6 7 7 8 8 8 9 10 9 7 6 5 5 5 6 7 7 6 5 4 3 3 3 3 3 3 4 5 6 6 6 5 4 3 2 3 4 5 5 5 4 4 5 6 6 5 3 2 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 5 5 6 6 6 5 6 6 6 5 4 3 3 4 5 4 3 2 3 4 6 7 7 7 6 6 6 6 6 5 6 6 6 6 5 5 4 4 4 4 5 5 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 5 5 5 6 5 5 6 6 7 7 8 13 18 18 16 13 14 15 15 11 8 6 5 5 4 5 8 10 12 13 14 14 12 11 8 6 5 5 7 7 7 7 4 2 2 3 5 8 9 7 3 6 4 1 0 12 11 1 -7 -4 4 -0 8 13 14 12 8 6 4 -1 -1 4 5 2 5 7 6 6 3 3 5 6 6 6 6 5 2 4 8 10 7 5 9 8 1 -0 3 6 5 6 7 7 9 16 26 19 6 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 6 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 5 4 5 5 5 5 6 6 8 14 20 19 11 5 6 7 6 4 -0 -5 -11 -11 -4 -1 -1 -0 3 7 7 7 9 7 6 6 6 6 6 6 6 6 5 6 7 8 6 4 1 6 9 8 8 8 9 8 7 6 5 7 7 6 6 6 4 4 5 6 5 4 4 4 5 5 5 5 5 4 4 4 4 3 4 5 5 5 5 5 5 6 6 6 6 6 8 10 10 9 9 7 6 5 5 6 8 8 7 5 4 4 4 3 4 4 4 5 6 6 6 5 5 4 3 3 3 5 5 5 4 4 5 6 6 5 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 3 4 4 4 4 5 5 5 7 8 7 6 4 4 5 6 4 3 1 2 3 5 6 6 6 6 7 7 7 6 6 6 6 7 7 6 6 6 5 5 6 6 5 5 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 6 7 7 7 14 24 27 24 18 15 14 15 14 12 9 7 6 6 6 6 9 12 13 14 14 12 11 8 6 5 4 5 6 7 6 5 3 3 2 3 8 10 6 6 6 9 7 1 3 16 15 6 -3 -3 4 3 6 10 13 16 7 5 6 3 2 4 4 5 8 7 5 5 2 2 5 10 8 5 6 4 0 4 9 11 9 7 9 6 1 3 6 3 4 7 9 8 10 19 26 17 6 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 4 6 6 5 5 4 4 5 5 6 7 6 6 5 5 5 4 4 3 3 3 3 4 4 5 5 5 4 4 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 9 16 22 20 11 10 10 8 8 8 6 -1 -9 -9 -6 -5 -5 -2 0 1 2 4 6 6 6 4 5 5 5 5 6 7 9 10 8 7 7 3 3 6 5 4 4 2 1 2 3 4 5 6 6 7 6 5 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 2 5 9 10 10 11 10 7 6 5 5 6 8 7 6 5 5 6 6 5 5 4 5 6 6 6 6 5 4 4 3 3 4 5 5 4 4 5 6 5 5 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 3 3 3 3 3 4 4 4 5 6 7 7 7 6 7 8 7 5 3 1 2 3 3 4 5 5 5 6 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 6 6 6 7 7 12 28 39 35 25 18 15 15 15 13 11 9 7 6 6 7 8 10 12 14 14 13 11 9 7 5 4 4 5 6 6 3 1 2 3 3 4 11 13 6 3 6 12 10 4 4 11 12 8 3 5 9 7 4 4 9 15 6 4 5 7 7 4 4 7 9 6 4 5 4 3 7 11 7 3 6 7 4 5 7 8 9 10 8 1 2 8 8 4 3 5 8 8 9 18 24 16 6 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 5 6 6 5 5 5 5 6 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 8 13 18 19 18 18 14 10 9 9 7 1 -4 -3 -3 -4 -1 -1 -3 -1 2 5 6 6 3 4 5 6 6 7 11 14 14 9 9 10 6 2 3 3 2 2 2 2 2 3 4 5 5 6 7 7 6 4 3 4 4 5 6 6 6 5 5 6 5 4 4 4 4 4 3 3 3 4 5 6 6 5 5 5 7 4 2 6 8 10 11 11 10 8 6 6 5 6 7 6 6 6 7 7 6 5 5 5 5 6 6 6 5 5 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 2 2 2 3 4 4 4 4 4 5 6 7 9 10 10 8 5 4 3 3 3 3 4 4 4 4 4 6 7 7 6 6 7 6 6 6 7 7 7 7 7 6 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 4 4 5 6 6 6 6 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 23 43 40 27 20 17 16 15 12 10 8 8 7 6 7 8 9 11 12 14 14 12 10 7 6 6 5 4 5 5 3 -0 -1 1 3 3 7 7 11 8 2 5 7 6 8 8 9 10 6 2 7 12 11 6 4 6 8 6 7 7 8 9 4 3 7 8 5 3 5 4 3 6 7 4 5 10 13 8 5 4 4 7 9 8 6 6 11 7 2 3 5 7 8 7 13 19 19 10 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 6 6 5 5 5 5 6 6 7 7 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 7 10 14 17 21 21 15 11 11 12 9 8 9 7 4 4 6 5 3 5 8 7 7 8 8 7 8 7 6 13 16 13 11 9 7 5 4 3 3 3 3 3 4 5 6 6 6 6 6 7 7 7 5 4 3 3 4 5 7 8 7 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 3 4 6 8 9 11 11 10 9 7 6 6 6 7 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 4 4 4 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 2 2 2 2 2 3 4 4 4 3 4 5 7 9 10 10 8 5 5 4 4 4 4 4 4 3 2 2 4 6 6 5 5 5 6 6 6 6 6 6 7 7 6 6 5 5 5 4 4 3 4 4 5 5 5 4 3 4 4 5 6 6 6 7 6 5 5 4 3 3 3 4 4 4 4 5 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 3 4 4 5 4 4 4 5 5 5 6 6 6 7 7 7 8 14 34 42 21 7 12 16 15 13 10 8 6 6 6 7 8 9 10 11 13 13 13 11 9 8 7 6 5 5 4 2 -1 -2 0 3 5 7 7 4 8 9 4 5 4 4 6 4 5 9 6 2 3 9 11 7 4 4 3 5 12 13 9 8 7 4 6 7 5 5 5 2 1 4 4 3 8 14 13 7 3 2 2 2 6 10 13 14 14 6 2 3 5 5 6 7 9 15 23 17 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 3 2 2 3 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 6 9 13 16 17 14 13 15 15 16 20 17 10 7 11 11 8 8 13 13 8 13 14 9 10 8 4 9 12 9 6 6 4 3 3 3 3 3 4 5 6 8 8 8 7 7 7 6 7 7 6 5 3 3 3 4 6 7 8 8 7 6 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 3 4 5 6 7 9 10 12 11 9 8 8 7 7 6 6 7 7 7 7 6 5 5 5 5 5 5 6 5 5 5 5 5 6 7 7 5 5 4 4 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 2 2 3 3 2 3 3 3 3 3 3 4 6 7 8 7 6 5 5 5 5 6 6 5 4 2 1 2 3 4 4 3 3 4 5 5 5 5 5 6 6 7 7 6 6 6 6 5 4 3 3 3 4 5 5 4 4 4 4 5 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 8 11 20 32 26 6 -3 7 14 13 10 8 7 5 5 6 7 8 9 10 11 12 12 11 10 9 8 8 6 5 4 1 -2 -2 1 3 4 6 8 5 3 7 7 6 8 7 6 5 1 -0 2 5 7 6 5 6 6 4 2 2 5 11 14 11 8 6 4 7 6 4 7 6 5 1 2 5 3 6 10 7 2 0 1 0 -1 1 7 14 21 17 9 5 5 4 2 2 4 6 15 25 20 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 6 6 9 12 12 11 12 12 12 17 20 16 11 14 13 9 8 10 12 11 12 13 11 10 9 5 5 6 5 4 3 3 3 2 3 3 3 4 6 8 9 9 8 8 8 7 7 6 6 7 5 4 3 3 3 4 5 7 8 7 6 5 4 4 4 4 4 5 5 6 5 3 3 4 4 5 5 4 4 4 4 5 6 8 10 11 12 11 10 9 10 9 7 6 6 7 8 7 5 5 4 3 4 5 5 5 6 6 6 6 6 7 8 8 6 5 5 4 4 3 2 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 5 6 6 5 4 4 4 5 6 7 7 5 2 2 3 4 4 4 2 2 3 3 4 4 4 4 5 5 6 7 7 7 7 7 6 6 5 4 3 4 4 4 4 4 4 4 4 5 5 6 6 7 6 6 5 5 5 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 8 10 14 22 26 17 6 1 5 11 12 10 8 6 5 6 6 7 7 8 9 10 10 11 10 9 8 8 7 6 5 2 -2 -4 0 5 5 2 4 7 5 7 6 2 4 6 6 8 7 3 -0 -1 4 11 7 3 4 7 5 4 6 7 10 12 9 5 2 3 7 7 4 7 8 7 3 4 7 1 3 5 4 2 1 2 2 1 2 6 13 21 16 9 5 3 2 0 3 5 4 18 27 17 6 5 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 5 5 5 6 7 8 8 8 7 6 7 10 14 13 13 12 8 6 5 6 8 7 7 8 8 8 5 5 5 4 4 4 3 3 3 2 3 3 5 8 11 11 9 8 8 8 8 6 6 6 6 6 5 4 3 3 3 5 6 7 7 6 5 4 3 3 3 4 5 5 5 5 4 3 3 3 4 5 5 5 5 5 5 5 7 9 11 11 11 11 11 11 10 8 7 6 6 7 6 5 4 3 3 4 5 5 6 6 6 6 6 6 7 7 8 7 5 5 5 4 3 3 3 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 6 6 5 3 3 3 5 6 7 7 5 3 2 4 5 5 4 2 2 3 3 3 4 4 3 3 4 5 6 6 7 7 7 8 8 7 6 5 4 3 3 3 3 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 8 13 19 24 23 11 5 5 4 10 11 9 8 6 5 5 5 6 6 7 8 9 9 9 8 7 7 7 6 6 3 -2 -4 -2 4 7 6 -1 -1 6 11 16 7 2 -4 -3 4 10 9 6 -0 -2 4 8 6 5 7 8 7 7 9 8 8 8 4 1 1 4 8 6 2 3 6 4 2 4 9 4 1 5 8 6 1 6 8 6 6 7 16 19 11 7 4 0 -1 1 8 9 6 18 28 15 6 5 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 3 3 3 4 4 3 2 3 3 4 4 4 5 6 6 6 7 6 6 5 4 4 5 6 7 7 5 4 3 3 3 3 4 4 5 5 6 5 5 5 5 5 4 4 4 3 3 4 6 10 12 11 9 7 7 8 7 7 6 6 6 6 6 5 4 3 3 3 4 5 6 6 6 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 6 9 11 12 12 11 11 11 10 8 6 6 6 6 5 5 3 3 4 5 5 5 5 6 7 6 6 7 7 7 7 6 5 5 4 3 3 3 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 4 4 4 4 4 4 3 4 3 3 2 2 4 5 7 6 5 3 3 4 5 6 6 4 3 3 5 6 6 5 4 4 4 4 3 4 4 3 3 3 3 4 5 6 6 7 7 8 8 7 6 5 5 4 3 3 3 3 3 3 4 5 5 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 4 4 3 3 2 2 2 2 2 3 3 3 3 2 2 3 3 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 6 7 7 7 7 7 8 12 20 24 24 16 4 6 10 8 11 10 8 7 6 5 5 4 5 5 6 7 7 8 8 7 6 5 6 6 3 -2 -5 -2 2 4 4 3 -0 1 5 8 10 8 1 -5 -1 6 9 10 7 3 3 8 5 5 7 8 6 6 9 11 9 6 3 0 -1 1 6 8 3 1 2 5 2 -3 -1 9 10 6 6 10 6 1 7 11 9 7 8 14 21 17 9 3 -2 -5 3 12 13 8 17 28 17 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 4 5 6 6 6 5 4 3 3 3 4 4 3 3 3 4 4 3 2 3 3 3 4 5 5 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 5 5 8 11 12 10 7 6 6 6 6 7 6 6 6 6 6 5 5 4 3 3 2 3 4 6 7 5 3 3 3 3 3 3 4 4 4 3 2 2 2 2 3 4 4 5 5 5 4 5 6 9 12 13 12 12 12 12 10 8 6 5 6 6 5 4 4 4 4 4 4 4 5 6 6 7 7 7 7 6 6 6 5 5 4 4 4 4 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 4 4 4 4 4 5 4 4 4 4 4 4 3 2 3 4 5 6 6 6 5 4 4 5 5 5 4 4 5 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 4 5 5 5 6 7 7 7 6 6 6 5 4 3 3 2 2 2 3 4 5 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 4 4 4 3 2 1 1 1 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 4 5 5 4 5 5 6 7 7 7 7 8 8 12 21 28 26 18 7 1 9 14 12 11 8 6 6 6 5 4 4 4 5 5 6 6 7 7 6 5 5 6 4 -2 -6 -4 1 3 2 1 1 1 5 5 0 -0 5 -1 1 7 7 7 10 7 5 8 12 4 3 9 9 6 7 9 10 9 6 3 1 1 1 4 4 2 4 4 6 8 -3 -4 9 15 7 5 6 1 2 5 7 9 13 13 12 21 25 12 1 -6 -5 6 13 11 8 18 28 19 6 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 5 5 5 5 5 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 7 7 6 5 4 3 3 4 4 3 3 4 4 3 3 2 2 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 6 6 7 6 7 8 10 9 7 4 4 5 5 5 4 4 5 6 6 6 6 5 5 4 3 2 2 3 5 6 6 5 4 3 3 3 2 3 3 4 4 3 2 2 3 3 3 4 5 5 5 5 5 5 7 10 12 13 13 13 14 13 10 7 5 5 6 5 5 4 4 3 3 3 3 3 4 5 6 6 7 7 7 7 7 7 6 6 5 5 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 2 3 4 5 6 6 5 4 4 4 5 5 5 5 5 5 4 4 6 8 8 7 6 5 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 3 2 2 2 3 3 4 5 5 5 5 5 5 6 7 7 7 7 7 7 6 5 5 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 7 7 7 7 7 9 14 23 31 29 20 11 1 2 12 15 9 6 6 6 6 6 5 4 3 3 4 5 6 7 7 7 6 4 4 4 0 -5 -4 2 3 2 2 5 7 4 -1 -3 1 4 2 -0 6 13 8 5 6 5 6 6 5 1 3 9 10 10 11 12 9 6 4 5 6 6 4 2 3 5 6 4 5 9 0 -4 11 19 4 1 4 -2 4 6 3 5 12 13 14 26 29 14 0 -7 -3 8 11 6 7 17 30 21 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 4 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 5 6 8 9 9 8 6 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 5 5 5 5 4 4 4 3 3 2 2 2 3 3 3 3 3 4 3 3 3 2 3 3 4 4 5 5 6 6 6 7 7 7 7 8 8 6 4 2 2 3 3 2 2 0 1 5 7 6 6 6 6 5 4 3 2 2 3 4 6 6 5 4 3 3 2 2 3 4 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 7 9 11 13 14 15 14 12 9 6 5 4 4 4 5 4 3 3 2 1 1 2 3 4 4 5 5 6 7 7 8 7 7 7 6 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 5 5 5 6 6 7 6 5 6 6 6 6 6 4 3 3 4 5 5 5 4 4 4 5 5 6 5 4 3 3 4 6 8 9 9 8 6 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 4 4 3 2 2 2 3 3 3 4 4 4 5 4 5 6 6 6 7 7 6 6 6 5 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 9 14 26 37 35 22 9 4 3 11 13 8 1 2 4 6 7 6 5 3 3 3 4 5 6 7 7 7 6 4 3 2 -3 -5 0 4 4 2 3 5 10 10 5 -1 -1 3 0 1 8 16 10 7 5 4 8 7 2 2 4 8 13 14 14 16 13 4 -1 3 7 9 6 0 1 6 6 6 8 5 1 -1 14 20 3 1 5 -1 3 4 1 2 8 10 19 32 30 14 0 -5 -0 9 9 4 4 14 31 24 6 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 4 5 5 5 5 5 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 3 3 3 3 3 4 4 4 4 5 7 9 12 13 11 9 6 5 4 4 4 4 5 4 4 4 3 3 2 2 3 3 4 5 5 5 5 5 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 5 5 5 5 6 6 6 7 8 7 4 2 1 1 1 1 1 2 1 -1 2 6 7 6 7 7 6 5 4 3 1 1 2 4 6 5 4 2 3 3 2 3 4 5 5 5 4 4 3 3 3 3 4 5 5 5 5 5 5 7 8 10 13 14 14 12 11 9 7 4 4 3 3 4 4 3 2 2 1 1 2 2 2 2 3 4 5 7 7 7 7 7 7 7 6 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 6 6 6 7 8 7 6 5 6 6 7 7 7 6 4 4 4 3 4 4 4 4 4 5 5 6 5 3 2 2 3 4 6 8 9 8 7 6 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 2 2 2 3 2 3 4 4 4 4 4 4 5 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 7 6 7 9 14 23 34 39 30 16 2 -4 4 6 1 -6 -7 -2 2 5 7 7 6 5 4 3 4 5 6 7 8 8 6 4 2 -2 -5 -3 1 4 5 5 6 5 3 7 10 6 2 2 1 3 9 14 13 15 11 8 8 6 1 0 4 10 14 14 14 16 14 2 -3 2 5 6 3 -3 -4 3 8 8 7 4 2 3 15 14 2 0 1 -0 4 0 -1 3 7 9 24 37 28 10 -2 -3 4 11 10 5 4 13 28 23 7 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 6 5 5 5 6 6 7 6 6 5 4 4 4 3 3 4 4 4 5 4 5 5 5 7 9 13 15 13 10 7 5 4 4 4 5 5 4 4 3 3 2 2 3 3 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 5 5 6 6 7 6 6 4 2 2 1 1 0 1 5 6 2 1 4 6 7 7 7 7 7 6 4 3 2 1 2 4 4 4 3 3 2 3 4 5 4 4 5 5 4 3 3 2 2 3 4 4 5 5 5 4 5 5 7 9 11 13 13 13 12 9 6 4 3 2 3 4 5 3 2 1 0 1 1 0 0 0 2 3 5 5 6 6 6 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 7 7 6 5 4 3 3 3 4 4 4 5 6 6 5 3 2 1 2 2 4 6 8 7 7 7 6 5 5 5 5 4 3 3 3 3 3 3 3 4 4 5 4 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 5 5 5 5 4 5 4 5 6 7 7 7 10 15 20 25 28 29 25 15 -0 -10 -8 -17 -19 -17 -11 -4 1 4 6 8 8 7 5 4 4 5 6 7 9 9 6 2 -3 -4 -2 -2 1 4 7 7 6 8 7 4 -0 -3 1 3 3 6 8 12 19 21 15 10 6 4 1 -0 2 7 10 10 10 11 9 1 1 6 4 2 -1 -5 -6 1 8 10 10 7 0 2 12 12 4 0 -4 -1 11 6 1 3 3 8 27 37 24 6 -3 -2 7 12 11 6 5 15 26 19 7 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 6 6 5 5 5 6 6 6 5 4 4 3 3 3 4 4 4 5 5 4 4 4 5 6 7 10 12 13 10 8 5 3 3 4 4 5 5 4 3 2 1 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 4 4 4 5 6 7 7 7 6 4 3 3 2 2 1 3 7 8 5 3 3 4 6 6 7 7 7 7 6 5 3 2 2 2 4 4 3 3 3 4 4 5 5 3 3 4 4 3 3 2 2 2 3 4 5 5 4 4 4 4 5 7 9 10 12 13 14 13 10 6 4 2 2 4 5 5 3 2 1 0 0 -1 -1 -1 1 3 4 4 5 5 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 7 6 6 6 7 8 8 8 7 6 6 6 7 7 7 7 6 5 4 3 3 3 4 4 5 5 5 4 3 2 1 1 1 2 3 5 5 7 8 8 7 7 7 6 5 3 3 4 4 4 4 4 4 5 6 6 5 4 3 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 3 3 4 4 5 6 6 7 6 6 6 6 6 6 6 7 7 6 5 5 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 5 5 5 5 6 9 8 9 12 15 18 18 17 15 15 17 12 -2 -13 -18 -23 -19 -11 -9 -3 1 3 5 8 9 8 6 5 5 5 6 7 8 9 5 -1 -4 -1 1 -3 2 4 9 7 4 8 8 1 -1 -3 0 3 7 8 8 12 20 19 13 9 7 5 1 0 3 5 7 6 7 6 4 4 9 9 5 2 -1 -4 -2 3 7 10 11 7 2 3 7 13 14 9 -2 -1 8 11 4 1 4 16 29 29 17 4 -3 0 8 11 9 6 7 17 26 16 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 5 5 5 5 5 4 3 3 3 3 3 4 4 5 5 4 4 3 3 4 5 5 6 8 10 10 8 6 4 3 4 4 5 5 4 3 2 1 1 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 4 4 5 6 7 8 8 6 5 4 4 3 2 1 3 8 8 5 3 3 4 4 5 6 7 8 8 8 7 6 4 3 2 5 6 3 4 4 4 4 5 5 4 3 3 3 3 3 2 1 2 2 3 4 4 4 4 4 3 4 5 7 8 10 11 14 15 14 10 7 5 3 3 4 4 3 3 3 2 2 1 -1 -0 1 3 4 4 5 5 5 5 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 5 5 5 6 6 7 6 6 6 6 6 7 7 7 7 6 5 4 4 4 3 4 5 5 5 5 4 3 3 2 2 1 1 2 3 5 7 8 8 9 9 8 6 4 4 4 4 4 4 4 5 5 6 7 7 6 5 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 5 6 6 7 6 6 6 6 6 6 6 7 6 6 5 4 4 3 3 3 3 4 4 3 4 4 3 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 9 13 10 12 15 14 14 12 11 7 7 10 6 -2 -10 -12 -10 -5 1 -0 1 3 4 5 8 10 9 8 7 6 6 6 7 9 8 4 -1 -2 1 1 0 4 5 7 5 3 7 3 -1 0 2 5 9 13 8 5 10 14 11 9 9 8 5 2 2 6 10 10 5 4 5 3 9 14 10 6 4 1 -3 2 9 8 7 5 6 8 7 6 12 18 15 4 0 0 12 12 9 12 21 26 21 8 1 -2 1 7 9 6 4 8 19 27 16 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 4 3 3 3 3 3 4 5 6 8 8 6 5 4 4 5 5 4 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 3 4 4 5 7 8 9 9 8 5 4 4 3 2 2 4 5 5 5 4 4 3 4 4 5 6 7 8 8 8 8 6 5 4 5 6 5 4 4 4 4 5 5 5 4 3 3 3 2 2 1 1 1 2 2 3 4 3 4 4 4 4 5 6 8 10 13 14 14 12 10 9 7 5 4 4 3 3 3 4 4 3 2 2 2 3 3 4 5 5 5 5 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 4 4 5 4 4 5 5 6 6 6 6 6 7 7 7 7 7 6 5 4 4 3 4 4 5 5 5 5 4 4 3 3 2 1 1 1 2 4 7 9 8 8 8 7 6 5 3 3 3 3 3 3 3 4 6 7 8 7 4 3 2 2 1 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 4 5 5 6 6 6 6 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 6 5 5 5 6 6 11 14 12 12 11 7 7 9 11 9 13 19 14 6 1 2 4 6 8 7 5 5 5 6 8 9 9 9 9 8 7 7 8 9 8 4 0 0 2 7 8 7 5 3 4 5 4 4 6 4 3 5 8 9 3 3 8 7 3 4 5 5 6 4 2 6 15 12 3 4 7 7 14 14 7 4 4 2 1 7 8 5 5 6 9 9 5 6 10 10 7 6 5 -2 5 19 22 20 19 17 8 -1 -1 -0 2 7 8 6 4 9 21 25 13 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 5 4 5 5 4 4 4 3 3 3 3 3 3 4 4 5 6 5 5 4 4 4 4 4 4 3 2 2 3 2 2 2 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 4 3 3 2 2 2 3 4 4 5 7 8 10 10 9 7 5 4 4 5 5 5 3 2 4 5 4 3 3 3 4 5 6 7 8 8 8 8 7 6 6 5 5 4 4 4 4 4 5 5 4 4 3 3 2 2 1 1 1 1 1 3 3 3 3 4 4 4 3 5 6 8 11 13 14 13 12 12 10 9 6 4 3 2 3 4 5 5 4 3 3 3 4 4 5 6 5 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 4 5 5 4 4 4 5 6 6 6 6 6 7 7 7 7 7 7 6 5 4 4 4 4 5 5 5 5 4 4 4 3 2 1 1 1 3 6 8 7 6 6 6 5 4 4 2 2 2 2 2 2 2 3 6 8 9 7 4 2 1 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4 3 3 4 4 5 5 6 6 7 7 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 13 18 15 9 4 2 5 9 13 15 26 35 24 14 11 13 14 13 12 9 7 6 7 7 7 8 9 11 11 11 8 7 8 8 8 5 3 4 5 8 10 8 5 2 6 7 2 7 13 12 7 5 9 3 -4 3 10 4 -0 -0 -1 4 12 9 0 2 12 11 7 10 11 12 17 17 8 2 1 -1 5 9 5 -1 1 8 9 7 5 5 3 5 7 7 9 -2 -7 12 30 25 15 5 -5 -6 0 1 4 9 8 6 5 8 18 25 15 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 2 2 1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 3 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 2 2 2 2 1 2 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 3 3 2 3 3 3 5 7 8 9 11 10 9 6 5 6 8 7 6 3 2 4 5 5 4 3 3 3 4 5 6 7 8 8 9 8 8 7 6 5 5 4 4 4 4 4 5 5 4 3 3 3 3 3 2 1 1 1 2 3 3 3 3 3 4 4 3 3 5 9 13 14 14 13 13 13 12 9 6 4 3 1 3 5 6 6 4 3 3 4 4 5 5 6 6 6 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 0 1 2 2 4 5 6 6 5 4 4 5 6 6 7 7 7 7 7 8 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 2 6 7 7 5 4 4 4 3 2 1 1 0 0 1 1 1 2 3 6 10 10 7 3 1 1 0 1 1 1 2 2 2 2 3 3 3 4 4 4 3 3 4 4 4 5 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 9 13 19 20 14 6 2 2 5 8 11 16 23 26 14 9 11 13 15 14 11 8 8 7 7 7 8 8 10 13 13 13 10 8 8 8 7 5 5 4 3 4 5 7 7 8 10 7 6 10 13 10 5 8 21 6 -4 5 8 3 4 3 -1 7 19 12 0 0 6 9 15 20 16 13 14 18 12 2 -1 -3 4 7 1 -2 7 14 11 9 11 3 -4 5 15 14 11 4 -7 8 32 24 10 -5 -12 -0 6 3 6 9 7 5 6 7 14 25 20 7 4 6 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 0 0 1 2 3 3 4 4 3 2 2 2 3 3 4 5 4 5 5 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 1 2 2 2 2 3 3 4 3 3 3 3 4 4 3 2 2 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 6 5 4 3 2 2 3 3 4 6 8 9 10 12 10 8 5 6 8 8 5 4 4 5 6 6 4 3 3 3 3 4 5 6 7 7 8 8 9 9 8 7 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 3 4 3 3 4 7 12 14 13 11 12 13 15 13 9 7 5 2 2 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 0 1 1 2 3 5 6 6 5 5 4 5 6 7 7 6 7 7 8 8 8 7 7 6 6 5 5 5 4 4 3 4 4 4 5 5 4 3 3 4 6 7 6 4 3 3 3 2 2 1 -0 -1 -0 -0 0 1 1 2 4 8 12 11 6 2 0 -0 1 0 1 1 2 2 2 2 2 3 3 3 4 4 4 4 4 5 4 4 5 5 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 9 15 20 20 15 9 5 3 3 5 7 8 12 8 -1 -4 1 6 10 11 11 9 9 8 8 7 7 7 8 11 14 15 15 13 10 8 7 7 4 3 3 5 4 3 5 10 14 11 8 8 4 -1 0 8 16 20 2 -0 7 4 5 13 11 3 8 14 6 2 6 6 9 19 22 16 13 11 11 9 1 0 -0 5 7 0 3 13 15 12 13 10 0 -2 4 13 17 13 14 6 18 32 21 1 -16 -9 14 19 14 14 11 7 4 5 7 14 24 22 9 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 3 4 4 4 4 4 4 3 1 1 0 -0 1 3 3 3 5 6 6 6 4 2 2 3 4 5 5 5 4 4 3 3 3 3 3 4 3 3 4 4 3 3 3 2 2 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 5 5 4 5 6 5 4 3 3 4 5 5 4 5 5 5 6 6 7 7 6 5 5 6 7 7 8 8 7 6 4 3 2 2 3 4 5 7 8 10 11 11 10 7 7 8 7 4 5 6 6 6 6 5 4 3 3 3 4 4 5 6 6 7 7 7 8 9 8 8 7 6 5 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 5 9 13 12 10 9 12 15 16 14 11 7 4 5 5 5 4 5 5 4 4 5 5 4 5 6 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 2 1 1 1 2 4 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 7 7 7 7 7 6 6 5 4 3 3 3 3 4 5 5 5 4 5 6 7 6 4 3 2 2 2 2 0 -0 -1 -0 0 0 1 1 1 2 6 12 15 10 3 -0 -0 -0 0 1 1 1 2 2 2 2 2 3 3 3 4 4 4 4 5 4 4 5 5 5 6 6 6 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 10 17 19 15 9 6 5 3 4 5 6 7 4 -3 -14 -6 3 7 9 9 9 7 7 8 8 7 6 6 8 11 15 16 17 16 10 5 6 8 5 3 4 7 7 5 5 7 9 8 7 3 -5 -8 -5 2 16 10 -2 4 7 4 10 22 14 2 3 3 3 11 14 9 10 15 16 12 11 11 7 4 -2 2 4 7 10 4 7 6 2 7 10 4 3 7 8 8 6 9 18 17 28 29 15 -9 -20 1 26 31 26 21 13 8 5 5 6 13 23 24 11 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 4 4 3 2 1 -0 -0 1 2 4 3 3 4 7 10 10 8 6 5 5 5 6 5 4 4 3 2 2 2 3 3 3 4 4 4 4 4 4 4 3 2 2 3 3 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 7 6 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 4 5 6 8 8 9 9 8 7 5 4 3 3 4 5 5 6 7 8 10 11 11 10 9 9 7 5 6 6 6 6 6 6 4 3 3 3 3 3 4 5 5 5 6 7 7 8 8 8 9 8 7 6 5 5 4 3 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 6 9 10 9 9 10 14 18 17 14 10 8 6 5 5 5 5 5 4 4 4 4 4 4 5 6 6 8 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 3 2 3 4 5 6 5 5 4 5 5 5 5 5 6 6 7 7 6 6 7 7 8 8 7 6 5 3 3 3 3 3 4 4 5 5 5 6 6 6 5 4 3 3 3 2 1 1 1 2 2 1 2 1 1 2 5 11 16 14 5 0 -1 -1 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 4 5 4 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 15 18 13 9 7 5 4 5 7 5 4 2 -2 -4 3 8 8 7 6 6 5 5 7 8 8 7 6 7 11 15 18 18 15 9 3 4 7 6 5 5 5 9 9 7 6 3 4 3 1 -1 1 -3 -4 4 -4 -4 9 8 4 13 25 13 3 2 -0 7 18 16 9 6 6 9 9 6 6 7 5 -2 3 5 8 12 3 -2 -5 -2 7 6 -0 4 9 8 6 3 9 15 24 34 24 8 -11 -11 9 25 29 27 20 11 7 6 5 5 10 21 25 14 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 2 1 0 1 2 3 4 2 1 2 6 11 14 14 10 7 7 6 5 4 3 3 3 2 2 3 4 4 4 4 4 4 5 4 4 5 5 4 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 5 5 6 6 7 7 7 7 7 7 6 5 4 5 7 10 11 10 11 11 9 7 5 4 3 3 5 7 7 6 5 7 8 10 11 11 10 10 9 8 6 5 6 6 6 6 5 4 4 3 3 3 3 4 4 4 4 5 6 6 7 8 8 9 8 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 4 6 8 9 10 10 13 16 18 16 13 10 7 6 5 6 5 4 4 4 4 4 4 4 5 5 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 4 4 5 6 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 6 5 5 5 4 4 3 3 4 4 3 3 2 2 2 2 4 9 16 16 8 1 -0 0 1 1 1 2 2 2 2 2 3 3 3 3 4 3 4 4 4 5 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 4 3 4 4 5 4 4 4 4 4 4 5 4 4 4 6 7 8 8 14 17 15 11 7 4 5 7 9 4 3 4 3 3 7 6 5 4 3 4 4 5 6 7 8 9 9 9 12 17 20 18 12 6 2 3 4 5 8 8 4 4 3 5 6 4 2 -0 2 7 11 10 9 3 -6 -2 5 4 1 8 12 5 9 9 4 8 11 8 5 3 5 10 11 6 3 6 4 2 3 5 8 13 6 -2 -2 4 6 -2 -5 2 8 7 2 2 6 10 28 35 21 5 -6 -1 11 16 17 16 13 8 6 6 5 5 10 23 27 15 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 3 3 1 1 1 2 2 3 3 2 0 0 3 8 13 15 13 11 8 6 4 4 3 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 7 6 6 5 6 6 6 7 7 7 7 8 7 6 5 5 5 6 12 15 12 12 13 11 9 6 4 3 3 4 6 8 8 6 5 6 7 8 9 10 10 10 10 8 6 6 6 6 6 6 6 5 5 4 3 2 3 3 3 2 3 4 4 5 6 6 7 8 9 9 9 8 7 7 6 6 6 5 5 5 4 4 4 4 4 5 5 5 6 5 4 3 3 3 4 4 4 5 7 10 12 13 15 17 18 15 12 9 6 5 5 5 4 3 3 4 4 4 4 5 5 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 6 5 5 5 5 7 9 10 8 5 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 3 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 8 7 7 6 6 5 5 3 2 2 2 2 4 8 14 16 10 3 1 2 2 1 1 2 1 1 1 2 2 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 6 7 8 9 12 19 21 12 6 5 6 7 3 0 4 3 2 4 5 4 3 3 3 4 4 5 6 6 9 13 13 12 14 19 20 14 8 4 3 4 3 4 7 8 9 2 0 4 6 3 -1 -1 6 11 7 6 11 14 16 12 2 -2 -1 4 -3 1 11 14 12 11 9 9 8 6 8 13 15 12 8 7 2 1 6 10 7 9 4 -2 9 20 10 -5 -5 2 6 2 0 3 4 7 26 32 19 4 -0 6 12 12 11 10 8 6 5 4 3 4 13 23 20 7 5 7 5 5 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 5 4 4 4 4 3 4 4 3 3 3 3 3 4 4 3 3 1 1 1 2 3 3 3 2 1 -0 1 4 8 10 11 11 9 6 4 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 7 6 5 5 7 10 16 17 13 12 12 10 9 7 5 4 3 4 6 8 8 7 7 7 6 6 6 7 8 8 8 8 7 7 7 8 8 8 8 7 6 5 4 2 2 3 3 2 2 2 3 4 5 5 6 7 8 9 9 9 9 8 7 7 7 7 6 6 5 4 4 4 5 5 5 6 6 5 5 3 2 2 4 5 4 3 5 9 13 13 14 17 17 17 15 11 7 5 4 4 3 2 3 3 3 4 5 7 7 5 3 2 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 6 6 6 6 5 6 8 11 11 9 6 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 3 4 5 7 8 10 10 9 7 6 5 4 3 3 2 3 3 4 6 12 16 13 7 3 3 3 2 1 1 1 0 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 6 7 7 8 9 13 24 24 12 6 6 8 5 -2 -2 1 1 1 3 4 3 3 3 4 4 5 5 5 7 12 16 14 12 12 15 15 12 7 3 4 5 4 1 -1 4 9 6 4 7 6 3 0 2 7 5 0 2 3 9 20 19 9 -0 -0 4 -1 4 8 11 11 12 13 17 12 6 6 9 13 13 9 3 -2 -3 9 15 6 1 -4 -3 18 31 13 -3 -1 3 -2 -5 -0 2 1 8 21 25 17 7 6 12 13 12 10 8 6 5 5 4 3 4 11 14 8 4 11 14 9 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 3 3 3 1 0 3 6 7 8 8 8 6 4 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 8 8 8 8 8 7 7 6 6 7 9 13 18 18 15 14 12 9 8 7 5 3 4 6 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 9 10 10 10 10 10 9 6 4 3 2 2 2 2 2 3 3 3 4 5 6 7 7 8 9 9 8 8 7 7 7 7 7 6 4 4 5 6 6 6 6 6 6 5 4 3 3 4 5 4 3 2 6 11 16 17 16 16 18 17 14 10 6 4 3 2 2 2 3 4 4 5 8 10 8 4 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 9 8 7 7 6 6 6 7 10 11 9 7 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 5 6 7 9 10 8 6 4 4 2 2 3 3 3 3 4 6 10 16 16 10 5 4 3 2 1 0 -0 0 0 1 2 2 2 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 5 6 6 6 6 5 5 6 6 6 6 6 5 5 5 4 4 4 3 5 6 7 8 8 9 15 26 23 12 6 7 7 5 3 5 1 1 2 4 4 4 4 4 5 6 6 5 5 10 17 15 11 11 9 9 11 12 9 6 4 3 1 -5 -5 2 5 7 8 8 6 4 4 8 7 4 9 10 -0 1 10 13 10 3 1 5 4 5 5 5 5 7 14 16 12 7 6 6 7 8 6 5 6 3 5 6 4 3 1 1 13 22 9 2 3 2 -4 -4 1 3 4 12 16 16 13 11 13 15 13 11 8 6 5 5 5 3 2 3 6 8 6 7 15 23 16 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 5 4 4 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 2 2 2 2 3 3 4 4 3 1 0 2 4 6 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 6 6 7 7 7 8 9 9 9 8 7 7 7 7 8 11 15 19 19 17 15 12 9 8 8 5 2 4 7 8 7 7 7 8 8 9 8 8 6 6 6 6 6 6 6 6 7 8 9 10 12 13 13 11 9 6 3 2 1 1 2 2 3 3 3 4 4 5 6 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 6 5 3 3 4 4 4 3 2 2 8 15 17 15 16 18 19 17 13 8 4 3 2 1 2 3 4 4 5 8 11 11 8 4 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 9 8 8 7 7 7 7 8 9 8 7 6 5 5 5 4 4 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 6 7 6 6 5 5 5 5 6 7 7 8 7 4 3 3 2 3 4 4 4 3 4 6 8 13 17 14 8 4 3 1 0 -0 -1 -1 -0 0 1 1 1 2 3 4 4 4 4 3 3 4 4 3 3 4 4 5 4 5 5 5 5 5 5 6 5 6 6 6 6 5 6 5 5 4 4 4 4 6 8 8 8 8 10 18 26 21 12 7 7 6 9 17 20 7 3 3 3 3 3 4 4 6 7 6 6 9 16 19 13 12 13 8 8 11 13 11 8 4 1 -2 -1 6 8 3 5 9 7 5 5 5 10 7 10 24 12 -3 4 8 3 4 5 4 5 4 5 6 7 7 4 7 7 13 15 14 9 5 4 5 10 14 14 9 5 7 9 5 2 -1 4 10 13 11 3 3 5 5 8 13 14 12 8 8 13 16 15 12 10 7 5 4 6 5 3 1 3 5 6 6 8 15 26 21 7 6 7 6 6 5 5 4 4 5 4 4 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 6 6 6 5 5 4 4 5 5 4 4 4 4 4 4 5 5 6 5 4 3 3 2 2 3 3 4 4 3 1 0 2 4 5 6 6 7 6 5 6 6 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 9 8 8 8 7 8 9 9 11 15 18 18 16 12 9 7 8 9 6 1 3 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 6 6 5 7 8 9 10 11 13 14 14 11 6 3 2 2 2 2 2 3 3 3 3 4 5 6 6 7 7 7 6 6 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 4 4 4 5 4 1 -0 4 11 14 15 16 18 20 18 15 10 5 2 2 2 2 3 4 4 4 8 12 13 12 6 2 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 10 10 10 9 9 8 7 6 6 6 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 7 7 7 7 6 5 6 5 5 6 7 7 7 4 3 3 3 4 4 4 4 4 5 5 7 11 15 15 11 6 3 1 0 -0 -1 -1 -1 -0 0 1 1 1 2 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 7 8 9 8 8 9 13 21 26 20 10 6 5 8 14 22 18 7 2 1 1 2 3 4 5 6 7 7 9 14 18 15 11 13 11 10 12 14 14 12 7 5 4 1 7 16 12 2 6 8 6 4 4 4 7 6 13 25 9 0 7 3 -2 3 6 7 6 3 5 7 9 12 8 2 3 12 20 21 13 6 3 3 6 10 14 14 10 9 9 8 2 -9 -2 7 13 15 8 4 4 5 9 14 13 6 2 6 14 16 15 12 9 7 5 4 5 5 2 1 3 5 5 6 8 14 25 23 10 6 7 7 6 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 6 5 5 5 5 5 5 5 4 5 6 6 6 6 5 4 3 3 3 3 3 3 3 2 1 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 11 11 11 12 12 13 14 12 8 5 5 6 9 7 2 2 4 4 5 6 6 7 7 7 7 7 7 6 6 7 7 8 7 6 7 8 8 7 7 8 10 14 17 16 11 6 3 3 2 2 2 3 3 3 3 3 4 4 5 6 6 6 5 4 5 6 5 5 5 6 6 7 7 7 6 6 6 6 6 6 4 4 5 5 4 2 -1 0 6 10 13 15 18 20 18 16 12 7 3 2 2 2 2 3 4 5 7 12 15 14 8 2 -0 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 9 10 10 10 10 9 8 8 7 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 6 7 7 6 5 5 5 5 6 7 8 7 5 3 3 4 4 4 5 5 5 5 5 6 9 12 14 13 9 5 3 2 1 -1 -1 -1 -0 1 1 1 1 1 2 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 7 7 9 10 9 7 8 12 17 25 27 16 7 3 3 10 13 11 3 1 -1 -1 0 1 3 3 5 7 7 8 11 16 15 10 9 10 8 10 14 14 15 14 9 10 10 5 6 8 7 3 2 2 4 4 3 3 2 8 10 9 1 6 9 3 2 6 7 7 5 3 3 5 8 14 13 7 5 10 19 21 13 5 0 -3 -1 4 10 12 11 6 2 7 4 -8 -3 3 8 11 7 2 5 10 13 13 8 -0 -1 9 15 15 14 11 9 8 6 5 5 3 1 2 4 5 5 5 7 13 25 25 12 6 7 7 6 6 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 5 4 4 5 5 6 6 6 5 4 4 4 3 3 3 2 2 2 2 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 10 10 12 14 14 12 10 10 11 11 8 5 4 3 5 9 8 2 3 4 4 5 5 6 7 7 6 6 6 6 5 5 6 6 6 7 7 8 11 9 5 6 7 8 12 18 21 18 11 6 3 2 2 2 2 3 3 3 3 3 3 4 5 5 4 3 3 4 4 5 4 4 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 5 3 1 -0 1 4 9 13 16 16 17 15 13 9 5 3 3 2 1 3 4 5 7 10 14 13 10 4 -1 -2 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 8 9 10 10 10 10 9 8 7 7 7 7 6 5 5 5 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 5 6 7 8 7 5 4 3 4 4 5 5 5 5 5 5 6 7 9 11 12 11 9 6 5 3 1 -0 -0 1 1 2 2 1 0 -0 1 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 5 5 6 6 6 6 6 6 5 6 7 8 11 12 10 7 7 11 19 27 32 25 13 5 -0 -2 5 2 -3 -3 -0 -2 -1 0 2 3 4 6 9 9 8 11 15 13 8 8 7 6 7 9 10 12 13 10 12 12 8 3 3 6 7 3 1 2 4 3 3 3 10 11 -3 -3 8 6 4 6 7 6 5 4 4 3 4 5 11 13 9 7 8 13 16 11 4 -5 -6 -1 4 9 11 8 2 -2 6 10 3 1 7 8 4 -0 1 11 17 14 9 3 -0 5 12 13 12 11 9 9 8 6 6 6 3 2 3 4 5 5 4 7 17 27 24 11 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 3 4 4 5 5 5 5 4 4 4 3 3 3 2 2 3 3 4 4 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 6 7 7 7 8 8 8 8 8 7 8 8 10 11 12 14 16 15 12 11 11 11 9 6 5 4 4 5 8 7 5 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 5 6 6 8 9 7 8 8 7 9 16 23 25 18 9 3 2 1 2 2 3 3 2 2 3 3 3 4 4 4 4 4 4 5 4 3 3 3 4 5 6 6 6 6 6 5 5 6 6 7 7 7 6 5 3 0 -1 1 6 9 11 12 12 12 12 11 9 7 6 5 5 6 7 7 6 8 10 12 11 7 2 -0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 5 6 8 9 9 10 10 10 9 8 8 8 8 8 7 6 5 5 6 6 6 5 5 4 4 4 4 5 6 6 6 6 6 5 4 4 3 3 3 3 4 4 4 4 4 5 5 7 7 7 5 3 3 4 5 5 5 5 5 5 6 6 6 7 9 10 11 10 9 8 6 4 2 2 1 2 2 3 2 -0 -1 -0 1 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 5 6 6 6 6 6 6 7 9 12 14 12 7 6 12 21 30 35 30 18 8 1 -6 -8 -3 -8 -9 -3 -1 -2 -1 1 2 3 4 7 9 9 9 10 12 12 11 10 9 9 9 7 6 7 9 8 8 11 12 6 8 9 9 10 8 4 2 2 3 7 11 9 -2 6 14 3 3 4 5 5 3 3 3 2 2 4 7 10 9 7 6 10 12 7 2 -8 -1 6 7 8 7 4 1 1 9 13 11 7 8 7 1 -3 2 10 9 12 8 1 7 19 18 10 9 9 8 8 8 7 6 6 4 3 4 5 5 5 4 10 24 29 19 8 5 5 6 7 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 5 5 5 4 4 3 3 3 4 4 5 5 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 6 6 6 6 7 8 8 8 8 8 7 7 7 8 11 13 14 14 15 16 15 12 12 12 10 7 5 5 5 5 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 5 6 6 7 8 7 9 9 8 8 11 19 26 22 13 5 1 1 2 2 4 6 3 2 2 3 3 3 3 4 4 5 6 7 7 5 3 2 3 5 5 5 5 6 6 5 5 5 6 7 8 8 8 7 5 3 -1 -2 0 4 6 9 8 8 10 12 14 14 13 13 15 16 13 8 4 5 8 10 11 10 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 4 6 7 8 8 9 10 9 9 8 8 8 9 9 7 6 5 5 5 6 5 5 5 4 5 5 5 5 6 7 6 6 6 5 4 4 3 3 3 3 4 5 5 5 5 6 7 7 6 4 3 4 4 5 6 6 5 5 5 6 6 6 6 7 8 9 9 10 10 10 7 6 5 3 2 2 2 1 0 -1 -1 1 2 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 5 6 6 6 6 5 5 6 7 8 11 14 13 8 5 11 22 31 32 26 18 10 3 -2 -8 -6 -7 -10 -7 -3 -3 -3 -1 1 2 3 4 7 7 8 8 10 12 14 15 14 12 13 13 8 4 5 6 7 5 9 10 6 9 8 9 8 7 5 1 -1 4 10 8 3 7 15 18 9 6 3 2 3 3 2 1 -0 -1 1 4 7 8 6 4 7 6 6 3 -5 5 11 11 10 5 -1 -2 4 7 2 3 6 9 10 5 4 6 8 8 10 3 1 16 27 19 9 9 8 8 7 8 8 8 6 5 4 4 5 5 5 6 15 29 26 11 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 7 7 7 8 8 8 8 7 7 7 8 11 14 15 16 15 14 14 13 11 11 10 8 6 6 6 5 7 8 7 5 5 6 6 5 5 5 4 5 5 6 5 4 5 4 4 4 4 4 4 5 6 9 12 6 3 8 10 9 8 12 18 19 14 7 2 2 2 3 8 14 13 5 1 2 3 3 3 3 4 5 7 9 10 9 5 3 3 4 5 5 5 5 6 5 5 4 5 7 8 8 9 8 7 5 1 -1 -2 0 3 6 6 6 8 10 13 16 17 20 24 24 18 9 4 4 6 8 10 11 10 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 2 3 5 5 6 7 9 10 10 9 8 8 9 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 4 4 4 6 7 6 6 5 5 5 5 6 6 6 6 7 8 8 9 10 11 10 8 6 5 3 2 2 2 1 -1 -0 1 2 3 3 3 3 2 2 2 2 2 3 3 3 3 2 3 3 4 5 5 5 6 5 5 6 8 10 13 14 9 4 8 19 28 30 23 12 5 4 5 6 5 7 0 -4 -3 -3 -4 -3 -1 2 3 4 5 6 6 5 7 10 14 18 16 12 10 14 15 10 5 6 6 6 5 5 7 8 8 6 10 7 9 8 1 -2 4 8 3 3 12 14 6 13 11 4 1 1 3 4 2 -1 -4 -2 2 5 6 3 1 3 2 10 6 -2 3 11 14 11 4 -2 -2 8 11 1 -2 2 11 13 7 8 5 5 20 12 3 8 20 21 13 9 8 9 9 8 9 10 9 6 5 4 4 5 5 5 9 20 29 21 7 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 3 3 3 4 3 3 4 4 5 5 5 3 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 8 8 8 7 7 7 9 12 14 16 18 17 14 11 10 10 10 9 7 6 6 6 6 6 8 9 8 5 4 5 5 4 4 4 4 5 6 7 5 2 2 2 2 2 2 3 3 4 5 8 13 5 -1 6 11 13 11 10 11 13 13 10 6 4 4 4 11 22 25 17 9 5 4 3 3 4 4 4 5 7 9 11 10 8 5 5 5 5 5 6 6 5 5 4 4 6 7 8 9 9 9 7 5 1 -1 -1 2 5 5 5 5 6 8 11 14 19 23 22 17 10 5 4 5 6 6 9 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 1 1 2 2 2 4 6 7 10 11 10 9 8 8 9 9 9 9 8 6 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 8 10 10 10 9 8 8 8 7 7 7 6 6 5 4 5 6 7 8 7 6 5 5 5 5 5 6 6 5 6 7 7 8 9 10 10 9 8 6 4 4 4 4 2 1 1 2 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 3 3 4 4 5 5 5 6 8 10 12 14 12 6 5 14 20 23 24 20 11 2 4 14 19 18 15 6 -0 -3 -4 -4 -2 -0 2 4 5 6 7 6 6 8 12 18 20 15 10 8 11 12 9 6 5 5 7 7 6 8 11 8 8 5 7 9 5 -1 1 7 8 3 4 7 3 -2 8 8 4 2 2 3 4 4 1 -1 -1 3 7 7 3 1 3 4 12 5 0 0 8 12 7 3 2 4 10 12 10 8 3 6 9 10 7 5 8 16 9 11 20 19 13 9 8 9 9 9 10 10 10 8 5 4 3 5 5 5 6 11 23 27 16 6 5 5 5 5 6 7 6 6 6 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 3 3 3 4 4 4 4 4 5 6 5 4 3 4 4 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 7 7 7 8 9 8 7 7 7 7 9 12 15 17 18 18 18 15 8 6 8 8 7 6 6 6 6 8 8 8 9 8 6 4 4 4 4 4 4 5 5 6 8 8 4 2 3 2 1 -0 -1 1 3 6 7 7 4 2 6 10 14 15 13 11 10 10 10 10 9 8 6 12 23 29 26 17 9 6 5 4 4 4 4 3 4 6 9 11 11 9 7 6 5 5 5 5 5 5 4 4 4 6 7 9 10 10 9 7 4 1 -0 1 3 4 3 3 3 4 6 8 12 15 14 12 9 7 5 5 5 5 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 3 1 0 0 1 3 5 8 10 11 10 9 8 8 7 8 9 9 8 7 5 4 5 5 5 4 5 5 5 6 6 5 5 6 7 8 11 11 10 8 7 7 7 8 8 8 6 5 4 4 5 7 10 9 8 6 5 4 5 5 5 5 5 5 6 7 7 8 9 9 9 8 7 6 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 2 3 3 4 5 5 6 9 11 13 15 15 9 6 8 12 13 15 21 22 15 8 6 12 16 14 7 -1 -5 -7 -5 -3 -1 1 3 5 7 8 8 8 12 15 17 20 18 13 12 11 8 8 10 8 5 5 7 8 9 9 4 1 5 4 6 4 -0 -3 3 10 8 3 2 1 1 3 1 1 3 1 1 2 3 4 4 5 4 5 9 10 6 4 6 7 5 3 4 -1 4 9 4 4 6 10 13 9 6 8 5 1 8 16 8 4 13 3 1 19 22 15 8 7 9 10 9 9 10 9 9 6 5 4 4 6 6 6 6 12 23 26 13 5 5 6 6 6 6 7 7 6 6 6 5 5 4 4 4 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 3 4 4 4 4 5 5 4 4 4 5 5 5 3 3 3 5 6 6 6 5 5 5 4 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 8 7 8 7 6 5 6 8 11 15 17 18 17 15 15 17 12 7 7 7 6 7 7 6 8 12 12 8 8 8 7 5 5 4 4 4 4 5 5 5 6 8 9 7 6 4 4 1 -2 -0 2 5 8 4 3 4 6 8 13 16 15 13 11 10 10 11 11 11 10 11 17 23 25 18 12 9 7 5 5 5 5 4 3 4 6 8 10 11 9 6 5 4 4 5 5 4 4 4 4 4 6 8 9 10 10 9 7 4 1 0 3 4 2 1 2 3 5 6 7 8 9 10 11 10 9 7 6 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 6 4 0 -1 -0 0 2 5 8 9 11 10 9 8 7 7 8 9 9 8 7 7 6 6 5 4 4 4 5 6 6 5 5 6 6 7 8 8 7 6 5 5 6 7 9 9 7 4 4 4 6 8 10 10 8 6 4 4 4 5 5 5 5 4 4 6 7 8 9 9 8 8 6 6 6 6 7 8 7 5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 4 4 5 8 13 17 19 19 16 8 4 5 7 7 12 18 18 15 16 12 8 1 -2 -6 -10 -10 -7 -4 -1 0 2 4 7 8 8 9 12 17 17 15 13 11 11 15 14 11 11 13 10 5 3 2 4 8 6 -2 -1 2 4 3 1 1 0 3 10 5 -0 -1 -1 1 2 -2 0 3 -0 1 3 5 4 6 11 10 9 10 10 9 9 10 6 -1 9 12 2 2 5 3 7 9 11 11 8 6 6 5 4 14 16 5 1 8 1 7 24 21 11 6 7 9 9 8 9 10 9 7 6 5 5 6 6 6 6 6 10 21 26 14 5 6 6 6 6 6 7 7 6 6 6 5 5 5 4 4 5 4 4 4 5 4 5 5 5 6 6 6 6 6 6 5 4 3 3 3 4 4 4 4 5 5 4 3 3 5 5 4 3 3 3 4 5 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 4 4 5 6 7 7 7 7 8 8 7 7 6 5 4 5 7 10 14 17 17 16 14 9 6 12 14 9 7 6 6 7 7 5 7 14 18 12 8 7 6 5 4 4 4 4 5 5 5 5 6 7 8 9 8 6 6 5 3 2 2 3 5 4 4 5 6 7 9 13 13 12 10 10 9 9 10 11 11 10 11 14 16 13 10 9 6 3 4 5 5 4 4 4 4 5 8 9 9 7 5 4 4 4 4 4 4 4 3 5 5 6 8 9 10 9 8 6 3 2 2 3 2 1 1 3 5 6 6 5 6 8 11 12 11 10 8 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 12 11 7 3 0 -1 -0 1 3 5 7 8 8 9 9 8 8 8 8 10 10 9 8 8 8 7 5 3 3 4 5 5 5 5 5 6 5 5 4 4 5 4 4 5 7 9 9 7 5 4 4 6 9 11 10 8 5 3 3 4 5 5 5 4 4 4 5 6 8 9 9 8 7 6 6 5 6 7 9 8 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 4 8 13 18 20 18 15 11 4 -2 1 5 5 10 12 10 10 15 11 0 -11 -13 -12 -11 -7 -4 -1 1 2 3 6 8 9 10 12 17 19 15 10 8 7 7 10 10 9 15 17 12 5 1 2 6 8 3 2 6 8 5 2 3 7 5 5 10 4 -1 -1 2 1 -2 -2 3 5 2 3 5 5 5 8 13 13 14 14 12 10 11 12 9 6 13 11 8 8 4 1 7 11 9 5 3 7 8 5 8 20 11 4 9 16 14 14 21 18 10 8 8 8 8 8 8 9 8 6 6 5 5 6 6 7 6 5 9 21 28 16 6 6 6 6 7 7 7 7 6 6 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 3 3 3 4 4 4 5 5 4 4 3 2 3 4 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 6 6 6 6 6 6 5 4 4 4 4 3 4 4 3 3 4 5 5 7 7 7 8 8 8 8 8 7 6 5 4 4 6 9 13 16 17 16 13 11 5 -1 2 8 9 7 7 7 7 6 2 -1 7 16 16 9 6 4 3 3 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 5 5 3 2 3 4 4 5 5 6 7 9 10 9 8 8 8 8 9 10 10 10 9 9 9 10 10 8 6 5 3 3 4 5 5 5 4 4 5 6 7 7 5 4 3 3 4 4 4 4 4 5 5 5 6 8 9 10 10 8 5 3 2 3 2 1 1 1 2 4 5 5 5 6 8 10 10 10 9 8 6 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 10 12 12 10 6 3 2 1 0 1 2 4 5 5 7 7 8 8 9 9 10 10 10 9 10 10 9 7 4 3 4 4 5 5 5 5 4 4 4 3 4 5 5 5 6 6 8 8 8 6 5 5 6 8 10 9 7 4 3 3 4 5 6 6 5 4 3 4 5 7 8 8 7 7 6 5 5 5 7 8 8 7 5 5 4 4 4 3 3 2 2 3 2 2 2 2 2 3 3 4 4 4 3 3 7 16 22 21 14 9 5 4 3 -1 -1 2 5 6 2 0 3 0 -9 -17 -17 -13 -8 -5 -2 -1 1 2 2 4 6 8 12 17 19 20 16 11 11 11 10 6 3 1 0 14 18 13 8 6 8 12 11 5 4 6 8 7 7 7 9 8 8 14 5 -0 2 6 5 3 5 8 6 4 5 5 2 5 9 10 9 12 20 17 10 9 10 11 13 11 6 6 7 3 2 4 7 3 -2 -1 6 11 11 11 12 5 9 20 25 28 24 17 13 10 9 8 7 6 7 8 9 7 5 5 5 5 5 6 7 6 5 11 23 27 16 7 6 7 7 6 7 7 7 6 6 5 5 5 5 5 4 5 5 5 4 4 5 5 5 5 5 6 5 5 5 4 3 3 3 4 4 4 5 4 4 4 4 3 2 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 4 4 4 4 6 7 7 8 8 8 8 8 8 7 6 6 6 6 6 8 11 15 18 16 12 10 9 6 2 0 4 7 7 7 6 6 5 -0 -7 -3 8 12 9 5 1 1 4 6 5 5 5 5 5 6 6 6 7 7 7 6 5 5 5 5 4 3 3 4 5 5 5 5 6 6 7 8 7 6 6 6 7 9 9 10 10 8 9 11 11 10 12 13 9 6 4 5 4 5 4 4 3 4 5 5 5 5 4 3 3 4 4 4 4 5 5 5 5 6 7 9 10 9 6 4 3 3 4 2 1 -0 -0 2 4 4 5 5 6 7 8 9 9 8 7 6 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 10 10 9 7 5 4 2 1 1 1 1 2 4 5 6 8 9 10 11 11 10 10 9 9 10 9 6 4 4 4 5 5 5 5 4 4 3 4 5 5 6 6 6 6 7 8 8 7 5 5 6 8 9 8 6 4 3 3 4 4 6 6 5 5 3 3 4 5 6 6 7 6 6 6 6 6 6 8 8 7 7 6 5 5 5 4 4 3 3 2 2 3 2 2 2 2 3 4 4 4 3 5 13 21 23 15 4 -1 -1 2 5 2 -1 5 12 8 -3 -9 -11 -22 -27 -23 -12 -6 -3 -1 1 1 2 2 3 5 7 12 19 22 18 13 10 10 13 15 14 10 6 3 -1 5 12 11 10 10 10 10 9 3 3 8 9 9 8 8 7 7 11 16 7 1 6 9 7 8 11 9 6 6 5 3 3 8 11 7 6 5 18 18 8 5 6 9 12 9 4 -1 1 2 3 5 8 3 -6 -5 3 13 17 15 10 9 17 23 24 25 21 15 11 9 8 6 5 6 7 7 8 7 5 4 4 4 5 6 7 5 5 15 26 24 13 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 5 5 4 4 4 4 4 3 3 3 4 5 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 3 4 3 3 4 5 6 6 7 8 9 9 9 8 7 7 6 6 6 7 7 8 10 14 17 18 13 9 6 6 7 6 5 6 6 6 6 5 6 5 2 -3 -5 1 8 9 3 -2 1 6 6 6 6 7 6 6 6 6 6 6 7 8 7 5 5 5 5 5 3 2 3 4 5 5 5 5 6 7 7 6 5 5 5 6 7 8 9 9 9 9 9 11 13 15 17 18 15 12 9 6 5 5 4 4 4 5 5 5 5 4 4 3 3 3 4 4 5 5 5 4 5 6 8 9 9 8 5 4 4 4 4 2 1 1 1 2 3 4 5 5 5 7 8 8 7 7 7 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 9 9 8 8 6 4 1 1 0 1 1 2 4 6 8 10 12 12 11 11 10 9 10 10 9 7 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 7 7 7 8 8 6 6 6 7 8 7 6 4 3 3 4 4 5 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 7 8 8 7 7 6 6 6 6 6 5 4 3 2 2 2 3 2 2 2 3 4 4 5 10 17 16 13 9 2 -2 -0 2 3 -1 3 16 23 18 3 -6 -13 -22 -21 -12 -3 1 2 1 1 1 2 3 4 7 12 19 22 18 11 8 9 12 12 13 14 14 12 11 4 -1 4 9 8 6 6 9 9 5 6 10 10 10 9 10 6 4 12 11 7 2 6 8 6 8 7 5 5 5 5 4 6 10 11 8 5 0 7 8 5 4 2 4 7 8 5 -6 -7 2 7 16 20 9 -9 -9 1 11 14 16 17 17 20 21 18 15 13 11 9 7 5 5 6 7 6 7 7 6 4 4 4 5 6 6 6 5 6 14 24 21 12 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 4 3 2 2 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 3 3 3 4 4 4 5 6 6 7 8 8 8 8 7 7 6 6 7 7 7 8 9 12 16 18 17 11 6 5 5 7 8 7 7 6 6 6 6 6 6 5 4 2 3 6 5 -1 -2 4 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 5 5 5 5 4 3 3 4 4 4 5 5 6 7 7 6 5 4 5 6 6 7 8 9 9 8 8 9 10 12 14 19 22 21 17 12 8 8 8 8 10 10 9 7 6 6 5 4 3 3 4 4 4 4 5 4 4 5 6 8 9 8 6 4 4 4 4 3 3 3 2 1 1 2 4 5 5 6 8 7 6 7 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 7 9 9 10 10 8 6 3 1 0 0 1 2 4 7 9 11 13 12 12 12 11 11 12 13 11 8 7 7 7 6 6 5 4 4 5 5 5 7 7 7 6 6 7 8 7 7 6 6 6 6 7 6 5 4 3 3 4 5 6 6 6 6 6 5 5 5 4 4 5 5 6 6 6 7 7 8 8 8 8 8 7 7 7 7 6 5 4 3 2 2 3 3 2 2 3 3 5 10 17 18 10 7 7 3 1 4 5 0 -4 11 22 30 26 10 2 -0 -4 -4 2 3 3 2 1 1 1 2 4 5 10 18 23 19 12 8 7 8 9 9 11 14 16 15 14 8 1 3 7 3 1 6 11 9 5 4 5 7 8 11 14 8 5 10 5 4 4 4 6 6 5 4 3 5 7 6 5 6 7 7 8 4 2 6 5 7 6 2 2 5 7 7 -3 -8 3 10 18 22 9 -7 -6 3 9 10 14 18 19 18 16 13 10 10 9 8 5 4 5 6 6 6 6 7 6 3 4 4 5 6 5 5 4 5 11 18 22 18 10 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 2 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 3 3 3 3 4 4 5 5 5 6 7 7 8 7 6 7 6 5 6 6 7 8 8 10 13 17 19 15 9 6 8 9 8 7 7 7 6 6 6 6 7 7 6 6 6 6 6 1 -4 -1 5 7 7 7 7 7 8 7 6 6 6 6 6 7 7 7 7 6 6 5 5 4 3 3 3 4 5 4 5 6 7 7 6 5 5 5 5 6 7 8 8 8 7 7 8 9 10 14 18 18 17 14 10 9 12 16 18 18 16 12 10 8 6 4 3 3 3 3 3 4 4 4 4 5 6 7 8 8 7 6 5 4 4 4 4 4 3 2 2 1 2 4 5 6 8 8 7 6 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 6 6 6 7 8 9 11 12 11 9 5 2 0 0 1 2 5 8 10 12 12 12 12 11 11 13 15 13 9 8 8 9 8 7 5 4 4 5 5 5 6 7 7 7 7 7 8 8 8 6 5 5 6 6 5 5 4 3 3 4 5 5 6 6 6 7 7 7 6 5 4 4 4 5 6 7 7 7 7 8 8 8 8 8 7 7 8 8 7 5 3 3 2 2 3 2 3 3 5 11 17 19 15 8 4 1 1 5 8 6 -3 -4 15 18 26 28 8 -4 -2 -1 -0 1 1 0 -1 -1 -0 2 4 6 7 13 21 21 16 13 12 10 5 3 7 9 13 18 16 13 7 2 5 8 4 1 5 7 2 3 5 7 8 12 13 12 8 7 9 3 3 5 3 6 8 7 6 7 9 10 9 7 3 1 5 10 7 8 9 13 16 9 6 6 6 6 7 6 5 6 6 8 7 2 0 2 6 6 9 14 16 15 15 13 10 9 10 9 5 4 5 6 6 6 5 7 8 7 4 3 4 5 5 5 4 4 6 9 15 24 24 13 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 5 6 5 5 5 4 4 4 2 2 3 4 5 5 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 3 3 3 3 3 4 4 4 5 5 6 6 6 7 6 6 5 5 5 5 6 7 8 9 11 14 18 18 13 5 2 9 13 9 7 7 7 7 6 6 6 6 6 6 6 5 6 5 -1 -5 -0 6 7 7 7 7 7 8 8 7 6 6 6 6 6 7 7 8 8 7 7 6 6 5 4 4 4 4 4 4 5 6 7 7 6 4 4 4 5 6 6 7 7 7 7 8 8 8 10 10 10 10 10 9 9 10 14 19 21 20 17 13 10 8 6 5 4 3 3 3 4 4 4 5 6 5 5 6 7 7 7 6 4 4 4 4 4 4 4 4 3 2 2 3 4 6 7 8 6 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 7 7 7 7 7 6 7 9 12 13 12 10 6 4 3 2 2 4 7 9 11 11 10 9 9 8 9 10 10 7 6 8 9 9 7 6 5 5 5 5 5 6 6 7 7 7 9 9 9 8 7 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 8 7 6 6 5 4 4 5 7 7 7 8 8 8 9 9 8 6 7 9 9 9 7 5 3 3 3 3 3 3 5 12 17 15 9 6 3 -2 -2 4 11 13 8 -3 -6 -2 3 12 17 -4 -17 -19 -16 -11 -6 -3 -2 -1 -0 2 5 7 9 13 18 21 16 12 14 16 12 2 0 4 6 11 17 17 12 7 1 4 10 9 4 2 2 -0 4 7 6 6 12 12 9 11 10 8 5 6 6 4 5 7 6 7 8 8 9 11 11 4 0 6 11 10 10 10 18 14 6 9 11 11 11 12 16 16 8 4 3 -4 0 7 6 6 6 10 12 12 12 11 9 8 8 10 9 6 5 6 7 6 5 6 7 8 7 6 3 3 5 6 4 3 4 6 8 14 26 29 15 5 5 6 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 5 4 4 4 4 4 3 3 3 4 6 7 5 4 3 3 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 5 4 5 5 6 7 8 10 12 15 18 17 10 1 -5 2 12 10 7 6 6 6 6 6 5 5 5 5 5 6 6 5 0 -4 1 6 7 6 6 6 7 8 7 6 6 6 5 6 5 6 6 7 8 8 8 8 7 6 6 5 4 4 4 3 3 4 6 6 6 5 4 4 5 5 5 5 6 6 6 7 7 6 6 7 8 8 8 8 8 8 9 11 15 19 21 18 14 13 12 11 10 8 5 3 3 4 5 6 6 5 5 5 7 7 7 6 5 4 4 4 5 5 5 6 6 5 3 2 2 4 5 7 7 7 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 9 10 9 8 8 8 9 10 11 11 10 9 7 5 4 3 5 8 10 11 9 7 5 4 5 5 5 3 3 5 7 7 6 5 5 4 5 5 6 6 6 6 7 8 9 10 10 9 8 6 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 6 6 5 6 6 7 7 8 8 8 8 8 7 7 8 9 10 10 8 6 4 3 3 3 3 3 6 10 8 1 -3 -3 -5 -3 6 12 16 14 9 2 -6 -15 -3 3 -2 -13 -19 -21 -18 -12 -6 -2 1 2 3 6 9 14 20 23 22 18 12 8 9 9 7 2 1 3 5 7 13 16 14 12 7 5 6 6 5 1 1 3 4 5 3 4 9 4 5 10 9 6 8 8 6 5 6 7 5 4 4 4 4 9 12 6 4 8 8 9 13 16 17 6 4 10 11 13 17 19 18 15 7 4 1 -2 4 8 7 9 13 13 11 9 9 6 4 5 9 10 9 8 7 6 6 6 5 5 6 8 9 7 5 3 4 4 3 3 5 6 8 17 30 29 14 4 4 6 7 6 5 6 6 5 5 5 5 6 6 5 4 4 4 5 6 7 7 6 5 4 3 3 4 4 4 4 4 4 6 7 6 5 4 3 4 6 6 4 4 4 4 4 4 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 5 6 7 8 10 13 15 17 15 9 2 -5 -2 6 8 7 6 5 5 5 5 5 5 6 5 5 6 5 3 3 2 3 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 7 8 8 8 8 8 7 6 6 5 5 3 3 3 4 5 6 6 5 5 5 4 4 4 3 4 5 5 6 5 6 7 8 7 8 8 9 9 8 7 9 13 18 21 20 17 16 18 20 16 10 5 3 3 4 5 6 5 5 5 6 6 6 6 5 5 5 4 4 4 5 7 9 8 6 3 2 3 4 5 7 8 9 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 10 11 11 12 13 12 9 8 8 9 10 11 10 9 6 4 4 6 8 10 10 8 6 5 5 4 4 3 3 4 5 5 5 5 4 4 4 5 5 5 5 5 6 8 9 10 10 10 9 8 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 6 6 6 6 6 7 8 7 7 7 8 7 7 7 7 7 9 11 10 8 5 4 4 3 4 5 6 4 -0 -4 -3 -3 -3 7 15 13 12 8 7 6 1 -4 3 6 1 0 -3 -4 -2 -1 2 4 5 6 8 10 14 22 28 26 21 15 10 6 3 2 5 6 5 3 3 5 9 15 15 16 15 9 3 -0 2 2 3 4 3 3 6 12 10 1 -3 1 3 5 8 7 5 5 9 11 7 3 3 3 3 7 9 8 11 11 7 10 20 22 12 5 9 7 3 6 9 11 11 10 6 2 1 6 6 5 9 17 19 15 10 8 5 2 2 5 8 9 8 8 8 6 6 5 4 4 7 9 10 9 7 5 3 2 2 3 5 7 10 19 26 22 15 8 5 5 6 6 6 5 5 5 5 5 6 6 6 5 4 3 4 5 7 8 8 6 5 3 3 4 4 5 5 5 5 5 6 6 5 4 3 3 5 7 7 6 5 5 5 5 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 6 6 7 10 13 16 17 15 9 5 5 2 2 5 6 6 6 5 5 5 5 6 6 5 5 5 4 1 2 4 6 7 7 8 8 8 8 7 6 6 6 6 6 5 5 6 5 5 7 7 7 8 8 8 8 8 8 7 6 5 4 3 3 4 5 6 6 6 5 5 4 3 3 3 4 4 4 5 6 6 6 7 7 8 8 8 8 9 8 9 11 14 16 17 16 19 24 28 23 14 8 5 3 3 4 5 5 5 5 5 6 6 6 6 5 4 4 4 4 6 9 12 9 6 5 3 3 3 5 7 9 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 9 10 11 13 17 17 13 9 7 7 8 10 11 10 8 6 5 5 6 7 9 10 9 8 8 7 6 5 5 5 4 5 5 4 4 5 4 4 5 5 5 5 5 7 9 11 11 11 10 9 7 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 6 5 5 8 12 14 11 7 5 4 3 6 10 9 4 2 1 3 4 5 11 13 9 4 4 10 13 11 6 6 12 15 20 17 13 11 10 9 9 9 10 11 14 17 20 19 16 16 14 10 6 7 9 11 13 9 6 5 4 5 11 14 13 12 10 7 3 3 3 3 6 5 4 10 16 7 2 -1 -1 1 5 5 4 2 5 12 17 12 4 4 5 5 6 7 8 13 13 10 13 20 19 9 7 11 5 -1 -1 -3 2 8 7 1 -1 3 8 4 4 13 18 15 11 8 6 4 3 4 5 6 7 7 7 6 5 6 5 4 4 6 8 9 10 10 7 3 0 1 1 4 7 10 14 16 18 20 15 9 6 5 5 5 5 4 4 5 5 6 6 5 4 3 3 4 6 7 8 8 7 5 3 3 4 5 5 5 5 4 4 5 4 3 1 1 3 6 8 9 8 7 6 6 5 4 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 3 2 3 3 3 3 4 4 3 3 3 3 3 3 3 4 5 5 6 7 10 14 17 18 14 9 8 8 2 2 5 6 7 7 6 5 4 6 7 6 5 5 5 3 0 2 5 7 7 8 8 8 9 8 8 7 7 6 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 8 8 6 5 4 3 4 5 6 7 6 5 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 12 13 15 20 29 35 29 20 13 7 5 4 4 5 5 4 4 5 6 6 6 6 5 4 4 4 5 9 12 11 8 6 4 4 3 3 5 7 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 6 7 10 14 15 13 10 8 7 7 8 9 10 9 8 6 6 5 6 7 8 9 8 9 9 9 8 8 8 7 6 6 6 6 5 4 5 4 5 5 5 5 6 9 11 12 11 11 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 5 6 7 7 6 6 5 5 5 5 7 12 15 14 10 6 4 4 4 2 1 2 3 4 4 4 5 8 12 8 0 8 19 19 12 8 9 14 19 25 26 23 20 17 14 12 12 12 14 17 17 13 9 8 12 12 8 7 13 16 16 16 12 9 6 4 4 7 11 9 9 11 12 11 9 5 7 7 4 4 10 12 4 4 4 2 3 4 4 2 1 4 13 15 13 9 6 4 5 5 4 5 9 12 12 13 14 14 10 9 8 5 4 -0 -3 6 9 4 -5 -6 3 9 5 6 12 13 9 5 3 5 9 10 8 6 6 7 6 5 4 5 7 8 6 4 4 5 6 9 12 11 7 2 -0 0 4 6 7 8 10 16 20 18 16 14 7 4 5 4 4 5 5 5 5 5 4 3 3 3 5 6 7 8 8 7 4 3 4 5 5 5 5 5 3 3 4 3 2 1 0 3 8 11 10 8 8 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 2 3 2 2 3 3 3 3 3 3 2 2 3 3 3 3 4 4 5 5 6 10 15 18 18 14 9 6 4 2 4 6 7 6 6 7 5 5 7 7 5 4 4 4 2 1 3 6 7 7 7 7 8 9 9 8 8 8 7 8 8 7 7 7 7 7 6 7 7 7 7 8 8 8 8 9 9 9 9 8 6 5 4 5 6 8 7 6 5 5 6 6 6 5 5 4 4 5 5 6 6 6 6 7 8 8 8 9 9 10 11 11 11 11 13 19 27 31 29 25 19 15 10 6 5 4 4 4 5 5 5 6 7 7 6 5 3 4 8 10 10 8 6 6 5 4 3 3 5 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 4 4 6 6 8 9 8 8 7 6 6 7 7 8 8 8 7 6 6 6 6 7 7 8 9 10 10 10 10 9 8 8 7 6 5 5 5 5 4 4 4 5 6 8 10 11 10 9 7 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 5 6 7 7 6 6 6 6 7 7 7 6 5 5 5 9 13 14 12 8 5 4 2 -4 -4 1 3 4 4 4 4 8 13 7 0 13 27 24 13 13 20 22 21 25 26 25 24 21 17 15 14 14 17 18 13 9 8 9 10 9 6 7 11 13 12 14 13 11 7 5 6 5 6 8 10 12 13 15 14 12 14 11 3 -0 3 7 8 7 6 7 5 6 7 3 1 6 13 13 14 16 9 1 1 4 4 5 7 8 10 10 12 13 12 8 8 9 6 -1 8 13 6 -3 -10 -8 5 12 11 11 10 8 6 2 1 7 16 16 11 7 7 7 5 3 3 5 9 10 8 6 4 4 4 5 8 12 12 7 2 2 3 5 5 6 8 11 13 16 22 21 10 5 6 4 4 5 5 5 5 4 4 3 2 3 5 5 7 8 9 6 4 4 5 5 5 5 5 4 4 3 3 3 4 3 1 4 10 13 11 9 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 6 9 15 19 19 15 8 4 4 4 6 6 5 6 6 6 5 6 7 6 5 4 3 1 -1 1 4 6 7 7 7 7 8 9 9 8 8 8 9 9 9 8 7 7 8 7 7 7 7 7 8 8 8 8 9 8 9 9 10 10 10 8 6 6 7 9 9 7 7 7 7 7 7 7 5 4 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 9 10 9 9 11 14 20 25 27 28 27 24 17 11 7 5 4 4 5 5 6 7 7 6 5 4 4 6 7 8 8 7 6 5 5 5 4 3 5 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 7 6 5 5 4 4 3 4 5 6 7 7 7 6 6 6 7 7 8 8 7 7 6 7 6 6 6 7 8 9 9 11 10 9 8 7 7 5 5 5 5 4 5 5 6 6 7 8 9 8 6 5 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 7 7 7 6 6 7 9 11 10 8 6 5 6 7 7 8 7 6 6 5 5 8 12 12 9 6 5 4 3 3 3 4 4 5 4 5 7 9 3 0 11 28 32 28 24 24 19 14 15 15 16 18 17 16 15 15 17 17 15 9 6 8 9 9 7 9 8 8 9 10 14 15 13 7 5 8 7 4 5 9 9 9 11 13 16 15 11 4 2 1 4 8 7 9 9 6 10 9 6 6 10 13 13 16 19 9 1 1 4 6 6 7 8 9 9 10 13 14 10 9 12 6 1 16 12 0 -2 -7 -3 9 16 17 15 8 6 4 1 3 10 17 17 12 9 8 7 5 3 4 6 9 10 9 7 5 4 3 2 4 7 10 11 9 7 4 3 4 5 5 7 9 15 22 19 9 11 14 7 4 4 5 5 5 4 3 2 2 3 4 5 6 7 8 6 4 4 5 5 5 4 5 5 5 3 2 4 8 8 5 6 10 13 11 8 7 7 7 7 6 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 5 9 15 20 21 16 9 5 5 4 5 6 5 6 6 5 5 6 6 6 4 3 3 2 -4 -2 4 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 9 7 8 10 10 10 8 8 7 7 8 7 5 5 5 4 5 6 6 6 5 5 5 5 6 6 5 5 5 6 6 6 6 7 9 11 14 18 23 27 30 28 22 16 11 7 5 4 4 5 6 6 7 6 5 4 5 6 7 7 7 7 6 6 6 5 4 4 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 10 9 8 7 6 5 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 6 7 8 9 9 9 8 7 7 6 6 6 5 5 5 6 6 7 7 8 8 6 5 4 4 4 4 5 5 6 7 7 7 7 7 6 5 5 5 6 8 8 7 6 5 6 9 12 14 11 7 5 5 5 6 7 7 7 7 6 6 6 7 10 12 10 7 6 6 6 7 6 5 5 6 5 5 7 9 5 1 9 22 26 23 14 5 -2 -5 -6 -2 3 7 8 10 13 16 15 13 10 5 4 5 6 6 6 9 10 8 8 11 14 17 15 7 4 9 9 5 5 7 6 4 4 7 13 9 4 5 7 4 4 8 8 8 7 9 10 6 8 15 14 10 9 11 10 5 3 5 7 8 8 8 7 8 9 8 11 14 13 10 10 7 11 16 3 0 10 2 -1 9 17 18 14 8 4 3 4 8 10 13 14 13 10 8 6 5 4 5 7 10 10 9 8 7 5 4 4 3 3 4 9 13 12 7 3 3 3 5 6 7 12 17 16 14 17 19 10 5 5 5 4 4 4 3 2 2 3 4 5 5 6 7 6 4 4 5 5 5 4 5 6 5 4 4 7 10 10 7 8 10 11 9 7 7 7 8 7 6 6 6 5 5 5 4 4 4 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 4 4 5 5 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 4 5 6 8 15 20 21 17 10 5 5 4 4 5 6 7 7 6 5 5 5 5 4 4 5 6 -1 -4 3 5 6 6 7 8 7 7 7 8 7 8 9 9 9 9 9 8 8 8 9 9 8 9 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 11 12 11 9 8 8 9 9 8 6 5 3 3 4 5 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 4 5 7 8 10 14 17 21 26 28 26 22 15 8 4 4 5 6 6 7 6 6 5 4 5 6 7 6 7 8 8 7 5 5 5 5 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 13 12 11 9 8 7 6 6 5 5 5 5 5 5 6 5 6 6 7 8 8 9 8 8 8 8 7 7 6 5 5 6 7 8 8 8 7 6 6 6 6 7 6 6 5 6 7 8 8 7 7 6 6 5 5 4 4 4 5 7 8 8 8 8 7 6 5 6 8 8 7 5 4 5 7 10 12 12 9 5 4 6 7 8 7 7 7 7 7 7 8 9 10 11 10 8 6 6 6 7 7 6 6 6 5 9 16 16 8 -1 6 18 14 -0 -9 -17 -19 -18 -17 -8 1 4 4 8 13 14 11 8 6 5 4 4 4 4 5 8 9 5 7 11 11 12 11 8 5 10 9 3 6 8 7 3 1 4 11 6 2 4 6 3 7 12 11 6 5 9 3 2 11 19 14 7 7 5 3 3 5 9 9 9 9 7 4 4 6 7 8 9 8 6 7 9 16 14 3 8 15 2 -3 7 12 12 12 8 4 5 10 10 10 11 12 12 9 6 5 5 6 7 9 10 9 8 6 6 6 6 6 5 4 3 5 10 11 8 5 4 4 4 5 6 9 12 16 20 17 11 7 6 10 10 8 7 5 3 3 2 3 4 4 5 5 6 6 4 4 5 5 4 4 5 6 5 5 6 9 10 9 8 9 9 9 8 7 6 7 8 8 7 6 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 5 6 9 15 20 22 18 11 5 2 1 4 5 7 7 6 6 5 4 4 4 4 4 5 7 4 0 3 5 6 7 7 8 7 8 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 8 8 9 10 11 11 12 12 12 12 10 9 9 9 9 9 8 7 5 3 3 4 4 4 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 3 4 6 7 9 10 13 18 25 31 31 26 16 8 6 6 5 5 6 6 5 5 5 5 5 5 6 8 10 10 8 6 6 6 6 6 6 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 14 19 15 12 6 7 10 15 13 8 4 7 12 16 18 18 13 7 8 11 20 21 18 16 14 9 1 0 5 11 15 16 14 8 8 13 14 14 13 12 14 15 16 14 13 14 15 15 16 17 17 15 12 11 13 12 14 17 19 19 17 15 16 18 17 14 11 10 10 10 10 9 8 9 12 16 16 14 9 6 6 9 11 10 10 9 10 10 11 11 10 10 10 11 11 12 12 11 10 10 12 12 10 10 11 13 13 13 13 15 15 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 12 13 13 13 14 14 14 12 11 10 11 11 12 13 16 19 17 13 12 13 14 15 15 15 15 15 14 13 13 14 14 14 14 14 13 13 14 14 14 14 12 12 13 14 14 12 11 11 11 11 11 11 11 13 14 15 14 12 11 11 12 13 16 17 17 16 14 14 13 12 12 11 11 12 14 15 14 13 12 12 15 19 20 20 21 24 27 31 33 34 33 32 29 27 26 26 25 26 25 24 24 24 24 25 25 24 24 22 21 21 22 21 19 17 17 18 19 18 18 18 19 21 22 22 21 19 17 15 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 11 10 10 10 10 9 10 10 10 10 12 12 12 13 12 12 13 12 11 12 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 13 14 14 13 12 11 13 16 15 13 13 15 15 15 14 12 9 7 7 10 11 12 13 13 12 12 12 12 12 14 14 15 18 21 23 22 19 19 19 16 13 12 12 12 12 12 11 9 8 11 15 18 20 17 15 13 13 12 12 11 10 10 10 11 11 10 11 13 14 14 14 13 13 13 13 13 13 13 13 12 12 12 13 15 15 15 15 15 16 19 21 19 15 11 9 12 15 16 15 15 14 13 14 15 14 14 14 14 14 15 15 16 17 18 17 17 16 15 14 14 12 12 11 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 8 5 5 11 15 17 18 18 15 13 6 7 17 17 13 13 15 12 8 7 8 10 14 15 14 11 8 6 9 11 12 12 12 11 11 10 12 15 16 16 15 15 15 15 13 12 10 8 10 14 17 19 18 18 21 22 20 15 10 8 6 7 7 8 8 8 10 12 13 13 12 9 7 9 10 11 11 11 11 11 11 11 11 10 11 11 12 12 11 9 8 10 13 14 13 12 11 12 12 13 13 14 14 13 12 13 13 13 12 13 12 11 10 10 10 10 10 11 11 12 13 13 13 13 14 14 12 11 10 11 13 15 16 15 14 12 12 12 13 14 14 14 14 14 14 14 13 13 14 14 14 13 12 12 12 14 15 14 14 13 12 12 13 14 12 11 11 11 11 11 10 11 13 14 14 14 12 9 6 7 13 21 25 21 18 15 13 12 12 11 10 11 14 14 15 15 14 14 14 16 17 17 17 18 21 23 25 26 29 30 31 30 28 28 27 27 27 26 24 23 21 21 22 23 23 21 19 18 18 19 19 20 20 18 18 19 19 19 19 19 19 21 21 20 18 16 14 14 15 14 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 12 11 11 11 12 12 12 12 12 13 13 13 12 12 11 12 12 11 11 12 11 11 11 10 10 10 10 10 10 11 11 12 14 13 12 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 13 12 11 12 12 11 11 11 11 11 10 11 12 12 11 11 10 10 10 11 11 12 12 12 12 12 13 13 13 13 12 12 13 14 14 12 13 16 15 12 9 5 3 2 7 12 12 13 12 11 11 11 12 12 12 12 13 13 16 21 24 24 21 18 16 14 12 11 11 11 12 12 12 12 12 13 15 17 17 15 13 12 12 12 12 11 11 11 12 12 11 11 12 13 15 14 13 12 12 12 13 14 14 13 12 11 12 14 14 15 16 15 15 14 16 20 23 22 14 7 9 12 14 13 12 14 15 15 15 14 13 14 15 15 15 15 16 16 17 17 16 16 16 16 15 14 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 9 5 4 12 16 17 12 11 13 20 19 11 8 8 12 14 13 11 10 8 7 9 12 13 12 11 10 9 11 13 14 14 13 14 16 17 15 11 7 6 8 11 14 15 16 18 20 21 18 14 10 7 6 6 8 9 10 9 10 10 12 13 15 13 11 12 13 13 13 12 13 14 14 14 14 13 13 13 13 13 11 8 7 9 12 13 13 12 11 11 11 12 12 13 13 12 13 13 14 14 13 13 12 10 10 9 9 9 11 12 13 13 13 13 13 13 13 13 12 12 11 12 14 14 15 14 12 12 13 14 14 14 14 14 14 14 13 12 13 13 14 14 13 12 11 11 11 13 14 13 12 13 13 12 13 13 13 12 12 11 12 11 11 11 13 13 13 13 12 9 4 2 7 17 26 28 25 20 14 12 12 11 11 12 13 14 15 15 15 16 17 16 15 14 15 17 19 19 20 21 23 23 24 24 24 24 22 22 22 21 19 18 16 15 15 17 20 20 18 17 17 17 17 20 21 19 18 17 17 17 15 13 10 9 11 13 16 17 16 15 15 14 15 15 14 13 13 14 14 14 14 15 14 14 14 14 13 12 12 11 12 12 12 13 13 13 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 13 14 14 13 12 11 9 9 9 10 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 11 10 9 9 9 10 12 13 13 12 11 10 11 12 13 12 11 10 11 11 12 12 12 11 10 10 10 10 11 12 11 12 12 13 13 13 13 13 12 12 13 13 14 15 15 14 10 6 3 3 4 8 11 13 13 12 10 9 10 12 13 13 12 13 13 14 17 21 25 24 18 14 12 12 12 11 11 11 13 12 13 14 14 14 14 15 14 14 13 12 12 12 12 12 11 12 12 12 12 13 12 13 14 14 13 11 10 12 14 16 16 13 12 11 12 13 14 15 16 16 16 16 17 19 21 19 12 7 9 12 13 13 14 14 14 14 14 14 14 15 15 15 15 16 15 16 17 17 17 16 16 15 15 15 14 15 16 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 18 10 9 16 15 12 7 8 8 9 9 10 11 12 10 9 11 14 13 11 12 13 13 13 13 12 14 15 18 19 17 12 8 6 7 9 10 10 11 13 14 15 14 12 9 8 8 8 9 10 10 10 10 10 11 12 13 12 11 11 13 13 14 13 14 15 15 15 15 15 15 15 15 13 11 9 8 9 11 11 12 10 10 11 11 10 11 12 12 13 13 13 13 13 13 13 13 11 11 10 10 10 12 13 14 14 13 12 12 12 13 12 11 12 13 14 14 14 12 11 12 13 15 16 15 15 14 14 13 13 12 12 12 13 13 14 14 13 12 12 12 12 12 12 13 13 12 12 13 13 13 12 12 12 12 11 11 12 12 12 12 13 12 11 9 5 4 6 13 21 26 28 23 16 13 12 12 13 14 13 14 14 15 17 17 15 14 13 14 15 17 18 18 18 20 22 22 21 20 20 19 16 16 17 17 16 16 14 13 15 17 18 18 18 17 15 14 17 19 18 16 15 14 13 13 12 10 8 8 10 13 15 16 17 16 16 16 16 15 15 15 15 14 15 14 14 14 15 15 13 12 12 12 11 12 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 12 13 14 14 14 12 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 10 13 14 13 12 11 12 12 13 14 14 12 11 10 11 11 11 12 11 10 9 10 10 11 12 12 12 13 13 12 13 13 12 12 13 14 15 15 15 15 12 8 6 6 9 13 14 14 13 11 10 10 10 11 13 13 13 13 14 13 15 18 22 23 20 17 14 13 13 11 11 11 11 13 13 13 14 14 14 14 14 13 12 12 12 12 12 12 11 11 10 12 14 14 14 14 13 13 13 11 10 11 16 17 16 14 12 11 11 11 12 14 15 16 17 17 17 17 17 20 18 12 10 9 10 10 12 14 13 13 12 13 15 15 15 15 15 15 15 16 16 16 16 16 16 15 14 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 10 12 12 12 13 11 10 9 10 11 12 15 15 13 14 14 15 16 17 17 17 16 15 12 8 5 5 5 7 7 7 7 9 9 9 8 8 9 9 9 9 8 9 10 10 11 10 9 9 9 11 12 13 13 13 12 13 13 13 13 14 14 14 13 11 7 5 7 9 10 10 10 9 8 9 9 10 11 11 12 13 12 12 13 12 13 13 12 12 11 11 11 11 13 14 15 15 14 11 11 11 11 11 12 13 13 14 14 13 11 11 12 13 15 16 16 15 14 13 14 13 12 12 12 13 13 13 14 13 13 13 12 12 12 12 13 13 12 13 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 14 13 7 3 2 7 15 31 33 21 15 14 14 13 13 14 13 13 15 16 17 16 15 14 13 14 16 16 15 15 18 24 28 24 20 21 19 17 17 16 15 14 14 14 13 13 13 14 15 16 15 14 14 15 17 17 16 15 16 15 15 14 14 13 11 10 10 12 14 16 17 16 16 16 15 16 15 14 14 13 14 13 13 13 13 12 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 12 12 11 11 12 13 14 15 16 15 13 11 9 8 7 8 9 9 10 10 10 9 8 8 8 7 7 7 7 7 8 8 7 7 8 9 10 10 10 10 11 12 13 12 12 12 12 12 13 14 13 12 11 11 11 9 10 11 12 11 10 11 11 11 12 12 13 13 13 13 13 13 13 12 14 16 17 15 13 12 11 9 8 10 12 14 14 12 12 11 10 11 11 12 13 13 13 13 13 14 16 18 22 23 20 17 14 13 12 11 10 10 11 12 13 13 14 14 14 14 14 12 10 10 11 11 11 12 11 10 12 12 13 14 15 15 15 15 13 10 10 12 15 17 16 12 10 10 12 13 13 14 14 15 16 17 18 18 17 18 18 15 12 10 9 10 13 15 14 12 11 12 14 15 14 15 15 14 14 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 11 14 15 13 12 12 14 16 18 20 18 16 13 13 13 13 10 7 6 6 9 12 13 11 8 6 7 8 10 11 10 10 10 10 10 11 11 11 9 9 9 11 12 12 11 11 10 11 12 13 12 12 13 13 12 10 6 5 7 8 10 11 11 10 8 7 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 14 13 14 14 15 14 11 9 9 11 12 13 13 13 13 13 12 11 12 13 13 14 14 14 14 15 15 14 13 13 12 13 13 14 14 13 13 13 13 13 13 12 13 13 12 13 13 12 12 12 13 13 12 11 12 12 12 12 12 12 12 12 13 14 15 13 9 3 -2 2 25 38 29 21 16 14 13 13 13 13 14 15 15 16 16 16 16 15 14 16 15 11 7 8 20 32 30 23 24 21 17 17 16 15 14 13 14 14 13 13 12 13 14 14 14 15 14 14 14 15 14 14 14 13 13 13 12 11 10 10 10 11 13 15 16 15 14 14 14 15 15 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 13 12 12 12 12 13 12 12 12 13 13 13 14 14 15 16 15 16 17 17 16 15 13 11 10 8 8 8 8 10 11 11 11 11 11 9 8 8 7 7 7 7 7 8 8 8 9 10 11 11 11 11 11 12 12 12 12 13 12 11 12 13 13 13 13 11 11 10 8 9 10 12 13 12 10 11 12 12 13 14 14 14 14 14 13 13 13 14 16 15 11 8 9 11 10 9 11 13 13 13 12 12 12 12 12 12 13 13 13 13 13 14 14 15 19 23 24 22 18 14 13 12 11 10 9 10 10 12 12 13 13 13 13 13 11 11 11 11 10 10 11 12 12 13 13 14 15 15 15 13 14 14 11 12 14 15 14 12 10 11 12 13 13 13 14 15 16 16 15 15 15 16 18 18 15 12 11 10 11 13 15 15 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 9 6 5 5 5 5 3 2 2 2 2 2 2 2 2 3 4 6 8 11 14 17 19 21 24 28 29 29 30 30 29 29 29 29 29 29 30 31 31 30 30 30 30 30 29 26 23 19 14 10 10 11 11 12 12 12 12 14 14 14 11 9 8 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 13 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 17 18 17 17 19 21 23 23 18 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 21 23 18 10 3 1 0 0 0 0 2 9 22 32 39 42 44 43 42 41 40 38 34 26 21 14 4 4 9 15 17 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 19 44 77 105 122 122 111 105 108 110 107 99 95 105 101 70 49 56 73 86 96 107 113 110 100 78 59 56 55 44 38 53 79 103 126 153 172 173 168 160 154 156 164 170 169 163 154 153 149 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 10 8 6 5 5 5 4 4 3 3 3 2 2 2 3 3 4 5 6 7 10 12 15 16 19 24 27 27 27 27 26 26 26 25 23 21 23 26 29 29 29 28 27 29 28 26 20 16 12 9 8 8 8 8 8 8 8 9 10 10 9 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 9 10 14 22 26 25 25 22 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 16 17 12 5 1 0 0 0 0 0 0 2 11 22 31 37 38 38 39 40 41 41 40 35 30 24 7 1 0 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 45 73 107 130 122 105 100 104 109 116 125 137 138 126 116 119 120 122 126 131 129 123 114 108 105 106 96 84 74 75 96 128 148 167 179 166 153 143 135 137 154 170 174 167 157 155 154 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 10 10 8 7 6 5 5 5 5 5 4 4 3 3 3 4 4 5 5 6 7 9 12 13 15 18 21 23 23 23 23 22 21 20 18 18 18 20 22 23 22 20 21 23 23 20 15 11 9 8 7 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 2 7 19 27 28 27 25 20 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 3 0 0 0 0 0 0 0 0 0 4 15 24 33 37 36 41 46 45 43 40 38 36 35 28 15 5 6 7 5 2 1 0 0 1 3 4 1 0 0 0 0 0 0 0 0 0 0 5 37 70 102 132 132 114 99 98 102 108 117 126 134 139 143 143 141 137 133 132 123 106 93 99 110 115 124 124 114 96 107 134 149 161 162 151 140 129 121 122 137 159 170 167 158 155 155 151 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 8 9 9 8 6 5 5 5 5 6 5 5 4 3 3 4 4 5 5 5 6 7 10 12 13 14 17 18 19 18 18 17 16 15 14 13 13 13 14 13 12 12 14 15 15 14 11 8 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 2 1 0 0 0 1 2 8 18 21 21 21 20 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 8 17 25 28 30 38 45 46 44 39 37 35 36 35 30 24 23 20 13 9 9 12 12 10 13 10 2 0 0 0 0 0 0 0 0 0 4 26 70 112 132 146 146 126 105 98 99 99 103 111 119 126 133 138 138 131 124 119 105 88 85 101 114 124 139 147 138 120 118 131 145 156 156 148 137 125 116 115 128 149 163 163 159 157 155 149 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 7 7 7 6 5 5 4 4 5 6 6 5 4 3 4 4 5 5 6 6 7 8 10 12 13 14 15 15 15 14 13 12 12 11 10 10 10 9 9 8 8 9 10 9 9 8 7 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 1 1 2 2 3 5 8 11 10 8 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 18 22 25 29 36 40 39 36 34 31 29 23 28 32 33 34 26 18 15 20 28 28 24 12 1 0 0 0 0 2 8 9 2 0 9 53 104 141 154 158 156 141 116 106 103 98 94 93 96 102 110 114 112 109 109 104 94 88 98 118 128 134 150 160 150 129 122 132 148 157 156 149 137 123 111 109 121 140 152 153 151 152 152 146 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 6 6 7 6 5 4 3 3 4 4 5 6 5 4 4 4 5 6 7 7 8 8 9 10 11 12 13 14 14 13 12 10 10 10 10 10 10 9 9 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 4 6 7 8 7 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 19 22 26 30 32 33 33 32 30 26 19 19 25 32 37 35 23 8 4 10 15 16 8 0 0 0 0 3 9 30 38 25 17 42 85 116 144 161 161 157 149 132 119 111 102 94 88 87 89 92 93 91 90 98 103 100 100 112 129 137 142 156 168 165 150 142 147 154 155 149 142 132 118 104 98 109 129 139 139 137 140 145 140 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 4 4 5 5 5 4 3 2 2 2 3 4 5 5 4 4 4 6 7 8 8 8 8 8 9 11 12 13 14 14 13 11 9 8 9 9 10 10 10 10 9 8 7 5 4 4 3 3 3 3 3 2 2 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 5 7 8 8 8 8 7 5 3 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 14 19 23 27 30 32 33 33 31 27 21 15 15 19 25 32 34 18 2 6 9 8 4 1 6 13 25 24 31 52 64 73 73 92 104 115 147 165 162 160 159 147 133 120 109 99 92 90 90 90 89 89 94 105 114 115 116 123 134 141 146 155 166 172 176 175 165 154 145 139 132 126 115 101 92 100 119 130 130 126 127 134 134 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 5 4 4 4 4 4 4 2 1 0 0 1 2 3 4 5 4 4 4 4 4 4 5 6 7 8 9 10 12 13 14 14 12 9 7 7 8 8 9 9 9 9 9 8 6 5 4 3 3 3 3 2 1 2 2 2 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 6 8 9 9 9 9 8 6 4 2 4 5 5 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 9 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 19 22 26 30 32 33 32 30 26 21 18 18 19 26 37 36 22 20 22 17 10 3 10 33 52 52 60 59 63 81 96 107 102 115 149 167 161 155 157 151 138 126 117 108 100 95 93 91 90 91 99 112 122 124 126 131 138 145 147 148 153 164 172 173 161 147 137 134 128 123 115 103 95 99 114 127 129 122 117 121 127 122 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 6 6 4 3 3 4 4 5 4 3 1 0 0 0 1 3 4 5 4 3 2 1 1 2 3 5 6 7 8 9 10 12 14 14 11 8 6 6 7 7 8 8 8 8 7 6 6 4 4 3 3 3 2 1 1 1 1 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 6 7 9 9 10 13 14 9 6 5 7 12 14 9 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 4 10 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 14 16 20 24 27 30 33 34 34 33 30 27 26 28 37 49 48 48 54 45 34 25 25 44 63 67 62 61 61 73 94 107 112 126 152 167 159 143 136 134 128 119 114 115 109 101 94 91 88 89 97 110 119 122 126 132 141 146 144 142 141 147 153 152 146 136 126 122 122 120 113 102 94 96 110 125 129 121 111 111 117 121 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 4 6 4 2 2 2 3 3 4 4 4 1 0 0 0 1 2 4 4 4 4 2 1 0 1 2 4 5 6 6 7 8 12 15 14 10 7 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 3 2 1 1 1 1 1 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 3 3 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 8 9 9 11 18 21 15 8 8 17 24 21 8 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 12 14 19 24 29 32 35 41 42 39 36 34 43 61 74 86 89 80 71 64 63 68 78 81 78 74 72 83 100 112 121 133 154 169 161 136 116 115 114 107 105 111 112 106 98 94 90 89 96 105 110 114 117 123 135 142 142 139 136 136 139 143 141 133 117 107 106 107 102 94 90 93 105 118 126 123 111 104 107 114 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 3 4 3 1 0 1 1 2 2 4 5 4 2 0 0 0 0 2 3 4 4 4 3 1 0 1 2 3 4 4 5 6 9 13 16 16 11 7 6 6 5 4 3 3 2 2 2 1 2 2 2 2 2 2 1 0 0 1 1 1 1 2 2 3 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 3 3 3 3 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 8 7 7 10 20 22 19 15 15 24 29 20 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 14 20 25 33 42 50 51 46 42 50 69 91 107 108 96 86 81 83 90 93 89 87 86 87 98 112 121 128 139 154 170 168 146 124 120 120 114 111 113 114 111 105 101 96 94 97 99 101 105 109 112 123 136 140 140 138 138 140 146 148 139 123 108 101 98 93 87 87 95 102 113 126 130 115 102 100 104 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 3 5 6 4 2 0 0 0 0 0 2 4 4 2 0 0 0 0 0 1 2 2 1 1 1 1 0 0 1 1 2 2 4 6 9 13 16 16 12 8 7 6 4 3 2 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 3 3 4 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 6 5 4 6 14 14 13 18 18 22 21 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 26 45 62 70 66 54 51 66 89 108 112 96 80 74 79 87 92 91 90 93 99 113 128 135 142 148 154 168 176 167 151 146 143 133 127 127 126 122 116 112 105 100 97 96 97 102 105 105 114 129 138 140 140 140 146 154 156 148 130 115 106 100 96 87 88 100 103 110 125 133 122 108 100 98 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 8 12 11 7 4 2 1 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 14 17 15 12 9 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 4 2 2 3 4 6 7 7 8 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 17 45 71 88 89 74 56 57 74 94 103 90 73 70 81 95 99 93 91 97 111 128 140 145 153 157 158 167 177 179 174 166 157 142 131 129 134 137 133 125 116 108 101 97 98 104 107 103 106 120 131 133 132 136 145 158 161 151 129 114 107 107 104 99 98 102 103 107 121 132 128 113 100 94 94 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 9 14 14 12 8 4 2 1 0 1 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 14 16 15 13 10 8 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 1 2 0 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 38 73 97 101 86 65 59 68 88 99 89 77 80 96 112 110 100 100 108 128 144 149 150 156 161 163 166 173 179 180 174 162 144 127 123 133 144 146 139 128 116 108 104 106 115 116 104 97 107 118 117 119 127 138 153 157 145 124 110 108 111 112 110 107 103 99 101 116 129 127 112 96 88 87 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 4 10 13 13 10 6 4 3 2 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 15 16 14 12 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 4 4 4 5 5 5 4 3 3 4 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 33 76 98 98 82 64 59 72 96 108 97 87 95 115 127 124 116 118 126 141 154 160 159 160 163 161 159 164 172 176 175 165 145 127 123 132 143 148 144 134 122 114 110 111 120 121 110 99 99 101 100 104 117 132 143 147 136 117 104 106 114 118 118 113 104 95 95 110 124 123 107 91 81 81 85 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 3 2 5 8 9 8 6 5 5 4 3 3 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 16 15 12 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 4 4 4 4 5 5 5 4 3 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 37 76 87 78 65 55 62 82 109 117 104 98 109 123 129 124 126 136 142 150 158 166 168 165 159 151 146 150 158 166 173 166 148 130 128 135 139 140 139 133 122 114 109 108 111 113 107 99 93 87 83 88 102 120 134 139 132 116 106 110 120 124 120 112 104 95 93 105 123 127 111 95 86 83 85 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 18 11 7 6 4 3 3 4 5 7 8 6 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 12 10 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 4 4 3 4 4 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 36 66 74 59 52 49 59 90 116 126 114 109 116 123 125 126 134 145 150 154 159 164 168 164 153 143 141 146 153 162 169 166 152 135 128 130 132 133 133 128 116 106 102 100 101 101 98 91 83 76 71 72 82 98 115 126 127 121 116 118 123 122 110 100 97 94 93 103 121 130 122 107 97 94 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 18 18 15 11 6 1 0 1 2 5 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 3 2 4 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 19 55 67 60 54 56 67 96 123 136 131 122 121 122 120 130 146 152 152 152 156 160 162 161 153 146 147 151 154 161 164 165 161 146 132 127 129 130 130 126 115 104 99 98 99 100 97 91 82 74 66 61 66 78 95 107 114 117 123 124 118 107 93 86 85 88 92 104 122 134 132 119 109 108 105 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 13 16 17 16 12 7 3 1 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 1 2 2 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 5 5 4 4 4 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 9 6 12 44 62 66 65 66 74 100 125 144 145 136 131 126 123 136 155 156 150 148 151 154 157 160 159 156 157 159 159 163 160 160 162 158 146 135 131 131 130 128 121 112 105 103 105 108 107 102 96 88 73 59 57 66 81 92 98 103 108 108 98 86 76 73 75 79 87 101 121 135 135 122 113 110 106 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 12 11 13 17 19 18 15 10 6 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 0 1 1 2 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 4 4 5 6 6 5 5 5 5 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 12 34 53 61 62 64 72 94 122 140 146 144 139 132 128 137 152 155 148 145 148 151 154 155 157 161 162 160 160 162 162 160 159 156 147 136 132 132 132 132 131 126 118 113 114 116 118 117 115 109 91 69 59 61 70 79 84 86 85 80 72 65 60 60 63 67 75 90 110 127 129 118 108 101 90 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 21 17 16 18 18 18 16 13 11 9 6 3 1 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 0 0 1 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 5 5 5 6 6 6 6 5 6 6 6 6 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 7 27 47 54 55 56 63 85 115 137 143 147 143 129 123 132 144 147 141 140 146 150 152 150 149 154 157 155 153 155 158 158 154 149 140 128 126 131 135 138 141 140 134 125 120 122 125 127 127 122 110 86 68 61 63 67 70 70 66 58 51 46 44 48 54 58 66 78 95 114 122 112 102 93 77 61 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 26 24 20 18 17 16 14 14 14 16 15 10 4 1 0 0 2 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 1 6 22 43 53 55 55 59 78 104 128 138 146 145 127 115 126 134 134 130 131 138 144 149 149 147 147 147 145 146 149 149 147 146 146 141 132 128 128 132 142 151 153 146 135 129 128 130 132 131 128 119 99 79 67 63 62 62 61 56 46 37 31 32 39 49 56 63 73 85 99 107 105 99 90 73 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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7 8 13 15 17 17 15 9 2 0 2 7 12 13 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 9 9 8 6 5 4 5 8 12 18 21 21 18 16 13 10 7 4 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 8 8 7 6 6 8 10 10 9 9 8 8 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 7 8 11 12 14 15 13 9 7 7 7 8 10 12 11 6 2 1 2 1 2 2 0 0 0 0 0 0 0 0 3 6 6 5 4 3 2 1 2 2 3 4 7 12 16 19 19 18 16 14 12 9 6 4 2 3 7 12 16 24 31 36 36 30 23 13 9 18 12 6 8 8 8 8 12 26 33 29 26 23 20 15 10 4 1 0 0 0 0 0 0 0 0 9 23 35 39 36 28 14 5 1 2 7 14 15 13 9 4 1 1 1 0 3 10 23 39 55 66 76 87 100 118 137 155 169 175 177 177 170 159 145 130 118 112 108 104 98 90 85 87 92 92 90 91 89 91 90 84 76 76 82 86 84 80 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 11 12 13 18 21 23 22 16 9 7 7 11 15 15 12 7 4 3 2 1 0 0 0 0 1 0 0 0 0 1 1 0 1 2 4 5 7 8 8 8 8 10 13 13 13 14 14 12 11 9 6 4 3 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 8 8 7 6 7 8 9 8 7 7 6 6 6 6 7 6 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 8 9 8 8 8 8 9 10 10 10 9 9 8 7 7 7 9 12 11 8 4 3 3 2 3 4 3 1 0 0 0 0 0 0 2 5 7 7 6 4 3 2 1 0 1 3 6 11 15 16 18 23 29 29 26 20 14 9 6 4 3 9 12 20 33 42 42 33 23 12 7 13 15 4 1 0 1 1 5 20 31 26 28 28 24 19 16 11 5 0 0 0 0 0 0 0 0 2 6 11 19 26 20 13 9 6 1 1 8 8 5 3 1 0 0 0 0 0 1 6 17 33 47 55 62 69 82 106 137 154 167 172 171 170 174 169 154 140 129 117 109 100 95 93 95 96 95 96 96 94 94 96 97 95 93 92 91 88 83 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 14 15 18 20 24 29 32 30 23 16 12 12 15 17 16 14 12 9 6 4 3 2 0 1 4 6 5 3 2 3 3 1 0 0 0 1 3 6 8 10 12 18 22 20 12 5 3 3 3 2 2 1 0 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 7 7 7 7 6 7 8 8 7 6 6 5 5 5 6 6 7 8 9 8 8 8 10 10 9 9 9 8 8 7 7 7 6 6 6 6 7 6 7 8 8 9 8 8 8 8 9 9 9 8 8 9 8 8 7 6 7 9 9 8 4 3 3 3 3 3 4 2 0 0 0 0 0 0 1 2 4 7 8 8 6 4 2 1 1 3 7 12 14 12 12 21 35 45 46 40 32 23 16 9 2 2 7 14 33 44 44 33 21 6 1 2 14 7 1 0 0 0 5 20 31 30 34 34 31 26 19 15 9 2 0 0 0 0 0 0 0 0 0 0 3 8 9 11 11 11 6 4 6 6 2 0 0 0 0 0 0 0 0 1 3 10 30 41 44 45 50 66 97 128 154 167 167 162 162 164 160 159 161 143 116 91 83 88 94 95 95 96 98 96 93 95 104 109 106 103 101 96 92 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 11 14 19 23 26 31 35 38 37 29 22 18 18 20 19 18 16 13 11 10 8 7 4 5 8 12 12 12 8 6 7 2 0 0 0 0 1 3 6 11 15 22 32 32 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 6 8 9 9 9 9 11 13 12 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 6 4 2 2 2 3 3 4 3 1 0 0 0 0 0 0 0 2 4 6 9 10 7 4 2 1 4 10 17 18 14 13 20 34 46 53 54 50 43 33 18 6 0 4 14 31 44 43 34 24 11 2 0 6 5 1 0 0 0 3 13 23 38 41 37 35 33 29 22 15 7 1 0 0 0 0 0 0 0 0 0 0 1 3 8 13 15 11 8 9 9 4 0 0 0 0 0 0 0 0 0 0 0 11 24 30 32 35 43 62 96 133 156 162 161 158 156 154 161 179 170 138 96 74 78 90 94 92 92 96 100 96 95 108 116 114 110 108 105 103 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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107 98 91 82 68 56 48 40 35 35 44 66 80 74 61 47 37 32 32 33 34 40 41 38 34 30 27 24 21 18 16 18 23 25 23 18 10 9 8 9 11 13 14 14 14 12 11 10 10 11 15 18 14 5 1 0 0 0 0 0 0 0 0 0 1 11 20 19 13 6 3 4 6 7 7 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 0 0 0 0 0 1 4 6 7 8 10 10 10 9 9 8 7 7 6 7 7 5 3 2 1 1 0 2 6 9 10 8 6 6 8 9 9 7 5 4 2 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 23 39 54 66 77 73 58 50 50 57 63 64 63 58 53 49 48 49 50 53 58 65 76 85 88 91 100 106 107 107 101 88 68 46 34 34 38 40 37 33 26 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 18 27 40 53 71 100 136 147 142 144 158 178 180 157 117 82 71 69 67 75 90 105 116 117 113 112 119 114 94 84 85 87 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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